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Finding the Fourth Proportional to 1,497.52, 2,066.60 and 834.40

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Solution

The fourth proportional to 1,497.52, 2,066.60 and 834.40 is: 1,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.52 : 2,066.60 = 834.40 : x
  2. Step 2: Convert to fraction form
    1,497.52/2,066.60 = 834.40/x
  3. Step 3: Cross multiply
    1,497.52x = 2,066.60 × 834.40
  4. Step 4: Simplify right side
    1,497.52x = 1,724,371.04
  5. Step 5: Solve for x
    x = 1,724,371.04/1,497.52
  6. Step 6: Final answer
    x = 1,151.48

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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.