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Finding the Fourth Proportional to 1,502.98, 2,073.66 and 1,188.28

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Solution

The fourth proportional to 1,502.98, 2,073.66 and 1,188.28 is: 1,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.98 : 2,073.66 = 1,188.28 : x
  2. Step 2: Convert to fraction form
    1,502.98/2,073.66 = 1,188.28/x
  3. Step 3: Cross multiply
    1,502.98x = 2,073.66 × 1,188.28
  4. Step 4: Simplify right side
    1,502.98x = 2,464,088.70
  5. Step 5: Solve for x
    x = 2,464,088.70/1,502.98
  6. Step 6: Final answer
    x = 1,639.47

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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.