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Finding the Fourth Proportional to 1,397.17, 2,105.21 and 1,159.03

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Solution

The fourth proportional to 1,397.17, 2,105.21 and 1,159.03 is: 1,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.17 : 2,105.21 = 1,159.03 : x
  2. Step 2: Convert to fraction form
    1,397.17/2,105.21 = 1,159.03/x
  3. Step 3: Cross multiply
    1,397.17x = 2,105.21 × 1,159.03
  4. Step 4: Simplify right side
    1,397.17x = 2,440,001.55
  5. Step 5: Solve for x
    x = 2,440,001.55/1,397.17
  6. Step 6: Final answer
    x = 1,746.39

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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.