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Finding the Fourth Proportional to 1,658.68, 2,484.72 and 1,522.60

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Solution

The fourth proportional to 1,658.68, 2,484.72 and 1,522.60 is: 2,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.68 : 2,484.72 = 1,522.60 : x
  2. Step 2: Convert to fraction form
    1,658.68/2,484.72 = 1,522.60/x
  3. Step 3: Cross multiply
    1,658.68x = 2,484.72 × 1,522.60
  4. Step 4: Simplify right side
    1,658.68x = 3,783,234.67
  5. Step 5: Solve for x
    x = 3,783,234.67/1,658.68
  6. Step 6: Final answer
    x = 2,280.87

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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.