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Finding the Fourth Proportional to 2,602.47, 3,591.41 and 1,423.54

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Solution

The fourth proportional to 2,602.47, 3,591.41 and 1,423.54 is: 1,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.47 : 3,591.41 = 1,423.54 : x
  2. Step 2: Convert to fraction form
    2,602.47/3,591.41 = 1,423.54/x
  3. Step 3: Cross multiply
    2,602.47x = 3,591.41 × 1,423.54
  4. Step 4: Simplify right side
    2,602.47x = 5,112,515.79
  5. Step 5: Solve for x
    x = 5,112,515.79/2,602.47
  6. Step 6: Final answer
    x = 1,964.49

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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.