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Finding the Fourth Proportional to 2,011.60, 2,774.20 and 1,451.76

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Solution

The fourth proportional to 2,011.60, 2,774.20 and 1,451.76 is: 2,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.60 : 2,774.20 = 1,451.76 : x
  2. Step 2: Convert to fraction form
    2,011.60/2,774.20 = 1,451.76/x
  3. Step 3: Cross multiply
    2,011.60x = 2,774.20 × 1,451.76
  4. Step 4: Simplify right side
    2,011.60x = 4,027,472.59
  5. Step 5: Solve for x
    x = 4,027,472.59/2,011.60
  6. Step 6: Final answer
    x = 2,002.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.