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Finding the Fourth Proportional to 1,852.27, 2,778.40 and 553.74

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Solution

The fourth proportional to 1,852.27, 2,778.40 and 553.74 is: 830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.27 : 2,778.40 = 553.74 : x
  2. Step 2: Convert to fraction form
    1,852.27/2,778.40 = 553.74/x
  3. Step 3: Cross multiply
    1,852.27x = 2,778.40 × 553.74
  4. Step 4: Simplify right side
    1,852.27x = 1,538,501.49
  5. Step 5: Solve for x
    x = 1,538,501.49/1,852.27
  6. Step 6: Final answer
    x = 830.60

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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.