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Finding the Fourth Proportional to 2,439.65, 3,658.44 and 1,052.28

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Solution

The fourth proportional to 2,439.65, 3,658.44 and 1,052.28 is: 1,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.65 : 3,658.44 = 1,052.28 : x
  2. Step 2: Convert to fraction form
    2,439.65/3,658.44 = 1,052.28/x
  3. Step 3: Cross multiply
    2,439.65x = 3,658.44 × 1,052.28
  4. Step 4: Simplify right side
    2,439.65x = 3,849,703.24
  5. Step 5: Solve for x
    x = 3,849,703.24/2,439.65
  6. Step 6: Final answer
    x = 1,577.98

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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.