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Finding the Fourth Proportional to 2,502.07, 3,753.51 and 770.69

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Solution

The fourth proportional to 2,502.07, 3,753.51 and 770.69 is: 1,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.07 : 3,753.51 = 770.69 : x
  2. Step 2: Convert to fraction form
    2,502.07/3,753.51 = 770.69/x
  3. Step 3: Cross multiply
    2,502.07x = 3,753.51 × 770.69
  4. Step 4: Simplify right side
    2,502.07x = 2,892,792.62
  5. Step 5: Solve for x
    x = 2,892,792.62/2,502.07
  6. Step 6: Final answer
    x = 1,156.16

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