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Finding the Fourth Proportional to 1,296.42, 1,935.17 and 1,124.30

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Solution

The fourth proportional to 1,296.42, 1,935.17 and 1,124.30 is: 1,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.42 : 1,935.17 = 1,124.30 : x
  2. Step 2: Convert to fraction form
    1,296.42/1,935.17 = 1,124.30/x
  3. Step 3: Cross multiply
    1,296.42x = 1,935.17 × 1,124.30
  4. Step 4: Simplify right side
    1,296.42x = 2,175,696.33
  5. Step 5: Solve for x
    x = 2,175,696.33/1,296.42
  6. Step 6: Final answer
    x = 1,678.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.