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Finding the Fourth Proportional to 2,807.46, 4,207.23 and 1,325.10

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Solution

The fourth proportional to 2,807.46, 4,207.23 and 1,325.10 is: 1,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.46 : 4,207.23 = 1,325.10 : x
  2. Step 2: Convert to fraction form
    2,807.46/4,207.23 = 1,325.10/x
  3. Step 3: Cross multiply
    2,807.46x = 4,207.23 × 1,325.10
  4. Step 4: Simplify right side
    2,807.46x = 5,575,000.47
  5. Step 5: Solve for x
    x = 5,575,000.47/2,807.46
  6. Step 6: Final answer
    x = 1,985.78

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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.