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Finding the Fourth Proportional to 3,145.50, 4,711.50 and 2,325.24

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Solution

The fourth proportional to 3,145.50, 4,711.50 and 2,325.24 is: 3,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.50 : 4,711.50 = 2,325.24 : x
  2. Step 2: Convert to fraction form
    3,145.50/4,711.50 = 2,325.24/x
  3. Step 3: Cross multiply
    3,145.50x = 4,711.50 × 2,325.24
  4. Step 4: Simplify right side
    3,145.50x = 10,955,368.26
  5. Step 5: Solve for x
    x = 10,955,368.26/3,145.50
  6. Step 6: Final answer
    x = 3,482.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.