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Finding the Fourth Proportional to 1,521.24, 2,280.24 and 870.60

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Solution

The fourth proportional to 1,521.24, 2,280.24 and 870.60 is: 1,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.24 : 2,280.24 = 870.60 : x
  2. Step 2: Convert to fraction form
    1,521.24/2,280.24 = 870.60/x
  3. Step 3: Cross multiply
    1,521.24x = 2,280.24 × 870.60
  4. Step 4: Simplify right side
    1,521.24x = 1,985,176.94
  5. Step 5: Solve for x
    x = 1,985,176.94/1,521.24
  6. Step 6: Final answer
    x = 1,304.97

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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.