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Finding the Fourth Proportional to 3,158.50, 4,740.57 and 1,658.74

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Solution

The fourth proportional to 3,158.50, 4,740.57 and 1,658.74 is: 2,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.50 : 4,740.57 = 1,658.74 : x
  2. Step 2: Convert to fraction form
    3,158.50/4,740.57 = 1,658.74/x
  3. Step 3: Cross multiply
    3,158.50x = 4,740.57 × 1,658.74
  4. Step 4: Simplify right side
    3,158.50x = 7,863,373.08
  5. Step 5: Solve for x
    x = 7,863,373.08/3,158.50
  6. Step 6: Final answer
    x = 2,489.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.