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Finding the Fourth Proportional to 1,497.75, 2,066.86 and 938.53

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Solution

The fourth proportional to 1,497.75, 2,066.86 and 938.53 is: 1,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.75 : 2,066.86 = 938.53 : x
  2. Step 2: Convert to fraction form
    1,497.75/2,066.86 = 938.53/x
  3. Step 3: Cross multiply
    1,497.75x = 2,066.86 × 938.53
  4. Step 4: Simplify right side
    1,497.75x = 1,939,808.79
  5. Step 5: Solve for x
    x = 1,939,808.79/1,497.75
  6. Step 6: Final answer
    x = 1,295.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.