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Finding the Fourth Proportional to 1,886.38, 2,829.61 and 653.83

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Solution

The fourth proportional to 1,886.38, 2,829.61 and 653.83 is: 980.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.38 : 2,829.61 = 653.83 : x
  2. Step 2: Convert to fraction form
    1,886.38/2,829.61 = 653.83/x
  3. Step 3: Cross multiply
    1,886.38x = 2,829.61 × 653.83
  4. Step 4: Simplify right side
    1,886.38x = 1,850,098.46
  5. Step 5: Solve for x
    x = 1,850,098.46/1,886.38
  6. Step 6: Final answer
    x = 980.76

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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.