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Finding the Fourth Proportional to 1,658.76, 2,489.76 and 1,651.06

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Solution

The fourth proportional to 1,658.76, 2,489.76 and 1,651.06 is: 2,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.76 : 2,489.76 = 1,651.06 : x
  2. Step 2: Convert to fraction form
    1,658.76/2,489.76 = 1,651.06/x
  3. Step 3: Cross multiply
    1,658.76x = 2,489.76 × 1,651.06
  4. Step 4: Simplify right side
    1,658.76x = 4,110,743.15
  5. Step 5: Solve for x
    x = 4,110,743.15/1,658.76
  6. Step 6: Final answer
    x = 2,478.20

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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.