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Finding the Fourth Proportional to 1,502.26, 2,062.09 and 1,332.77

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Solution

The fourth proportional to 1,502.26, 2,062.09 and 1,332.77 is: 1,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.26 : 2,062.09 = 1,332.77 : x
  2. Step 2: Convert to fraction form
    1,502.26/2,062.09 = 1,332.77/x
  3. Step 3: Cross multiply
    1,502.26x = 2,062.09 × 1,332.77
  4. Step 4: Simplify right side
    1,502.26x = 2,748,285.03
  5. Step 5: Solve for x
    x = 2,748,285.03/1,502.26
  6. Step 6: Final answer
    x = 1,829.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.