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Finding the Fourth Proportional to 1,419.72, 1,957.76 and 922.58

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Solution

The fourth proportional to 1,419.72, 1,957.76 and 922.58 is: 1,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.72 : 1,957.76 = 922.58 : x
  2. Step 2: Convert to fraction form
    1,419.72/1,957.76 = 922.58/x
  3. Step 3: Cross multiply
    1,419.72x = 1,957.76 × 922.58
  4. Step 4: Simplify right side
    1,419.72x = 1,806,175.82
  5. Step 5: Solve for x
    x = 1,806,175.82/1,419.72
  6. Step 6: Final answer
    x = 1,272.21

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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.