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Finding the Fourth Proportional to 1,366.16, 2,044.08 and 837.19

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Solution

The fourth proportional to 1,366.16, 2,044.08 and 837.19 is: 1,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.16 : 2,044.08 = 837.19 : x
  2. Step 2: Convert to fraction form
    1,366.16/2,044.08 = 837.19/x
  3. Step 3: Cross multiply
    1,366.16x = 2,044.08 × 837.19
  4. Step 4: Simplify right side
    1,366.16x = 1,711,278.23
  5. Step 5: Solve for x
    x = 1,711,278.23/1,366.16
  6. Step 6: Final answer
    x = 1,252.62

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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.