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Finding the Fourth Proportional to 1,393.43, 2,098.34 and 1,006.15

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Solution

The fourth proportional to 1,393.43, 2,098.34 and 1,006.15 is: 1,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.43 : 2,098.34 = 1,006.15 : x
  2. Step 2: Convert to fraction form
    1,393.43/2,098.34 = 1,006.15/x
  3. Step 3: Cross multiply
    1,393.43x = 2,098.34 × 1,006.15
  4. Step 4: Simplify right side
    1,393.43x = 2,111,244.79
  5. Step 5: Solve for x
    x = 2,111,244.79/1,393.43
  6. Step 6: Final answer
    x = 1,515.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.