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Finding the Fourth Proportional to 2,882.76, 4,320.81 and 1,402.72

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Solution

The fourth proportional to 2,882.76, 4,320.81 and 1,402.72 is: 2,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.76 : 4,320.81 = 1,402.72 : x
  2. Step 2: Convert to fraction form
    2,882.76/4,320.81 = 1,402.72/x
  3. Step 3: Cross multiply
    2,882.76x = 4,320.81 × 1,402.72
  4. Step 4: Simplify right side
    2,882.76x = 6,060,875.80
  5. Step 5: Solve for x
    x = 6,060,875.80/2,882.76
  6. Step 6: Final answer
    x = 2,102.46

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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.