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Finding the Fourth Proportional to 1,442.52, 1,990.74 and 946.47

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Solution

The fourth proportional to 1,442.52, 1,990.74 and 946.47 is: 1,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.52 : 1,990.74 = 946.47 : x
  2. Step 2: Convert to fraction form
    1,442.52/1,990.74 = 946.47/x
  3. Step 3: Cross multiply
    1,442.52x = 1,990.74 × 946.47
  4. Step 4: Simplify right side
    1,442.52x = 1,884,175.69
  5. Step 5: Solve for x
    x = 1,884,175.69/1,442.52
  6. Step 6: Final answer
    x = 1,306.17

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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.