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Finding the Fourth Proportional to 1,792.17, 2,689.32 and 970.43

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Solution

The fourth proportional to 1,792.17, 2,689.32 and 970.43 is: 1,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.17 : 2,689.32 = 970.43 : x
  2. Step 2: Convert to fraction form
    1,792.17/2,689.32 = 970.43/x
  3. Step 3: Cross multiply
    1,792.17x = 2,689.32 × 970.43
  4. Step 4: Simplify right side
    1,792.17x = 2,609,796.81
  5. Step 5: Solve for x
    x = 2,609,796.81/1,792.17
  6. Step 6: Final answer
    x = 1,456.22

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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.