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Finding the Fourth Proportional to 2,602.81, 3,591.85 and 1,423.87

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Solution

The fourth proportional to 2,602.81, 3,591.85 and 1,423.87 is: 1,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.81 : 3,591.85 = 1,423.87 : x
  2. Step 2: Convert to fraction form
    2,602.81/3,591.85 = 1,423.87/x
  3. Step 3: Cross multiply
    2,602.81x = 3,591.85 × 1,423.87
  4. Step 4: Simplify right side
    2,602.81x = 5,114,314.92
  5. Step 5: Solve for x
    x = 5,114,314.92/2,602.81
  6. Step 6: Final answer
    x = 1,964.92

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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.