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Finding the Fourth Proportional to 2,497.05, 3,750.98 and 1,768.05

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Solution

The fourth proportional to 2,497.05, 3,750.98 and 1,768.05 is: 2,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.05 : 3,750.98 = 1,768.05 : x
  2. Step 2: Convert to fraction form
    2,497.05/3,750.98 = 1,768.05/x
  3. Step 3: Cross multiply
    2,497.05x = 3,750.98 × 1,768.05
  4. Step 4: Simplify right side
    2,497.05x = 6,631,911.35
  5. Step 5: Solve for x
    x = 6,631,911.35/2,497.05
  6. Step 6: Final answer
    x = 2,655.90

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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.