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Finding the Fourth Proportional to 1,488.34, 2,233.24 and 1,052.39

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Solution

The fourth proportional to 1,488.34, 2,233.24 and 1,052.39 is: 1,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.34 : 2,233.24 = 1,052.39 : x
  2. Step 2: Convert to fraction form
    1,488.34/2,233.24 = 1,052.39/x
  3. Step 3: Cross multiply
    1,488.34x = 2,233.24 × 1,052.39
  4. Step 4: Simplify right side
    1,488.34x = 2,350,234.22
  5. Step 5: Solve for x
    x = 2,350,234.22/1,488.34
  6. Step 6: Final answer
    x = 1,579.10

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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.