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Finding the Fourth Proportional to 2,134.60, 3,200.01 and 1,038.76

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Solution

The fourth proportional to 2,134.60, 3,200.01 and 1,038.76 is: 1,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.60 : 3,200.01 = 1,038.76 : x
  2. Step 2: Convert to fraction form
    2,134.60/3,200.01 = 1,038.76/x
  3. Step 3: Cross multiply
    2,134.60x = 3,200.01 × 1,038.76
  4. Step 4: Simplify right side
    2,134.60x = 3,324,042.39
  5. Step 5: Solve for x
    x = 3,324,042.39/2,134.60
  6. Step 6: Final answer
    x = 1,557.22

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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.