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Finding the Fourth Proportional to 3,775.80, 5,663.70 and 1,178.74

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Solution

The fourth proportional to 3,775.80, 5,663.70 and 1,178.74 is: 1,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.80 : 5,663.70 = 1,178.74 : x
  2. Step 2: Convert to fraction form
    3,775.80/5,663.70 = 1,178.74/x
  3. Step 3: Cross multiply
    3,775.80x = 5,663.70 × 1,178.74
  4. Step 4: Simplify right side
    3,775.80x = 6,676,029.74
  5. Step 5: Solve for x
    x = 6,676,029.74/3,775.80
  6. Step 6: Final answer
    x = 1,768.11

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.