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Finding the Fourth Proportional to 2,501.90, 3,757.29 and 2,374.28

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Solution

The fourth proportional to 2,501.90, 3,757.29 and 2,374.28 is: 3,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.90 : 3,757.29 = 2,374.28 : x
  2. Step 2: Convert to fraction form
    2,501.90/3,757.29 = 2,374.28/x
  3. Step 3: Cross multiply
    2,501.90x = 3,757.29 × 2,374.28
  4. Step 4: Simplify right side
    2,501.90x = 8,920,858.50
  5. Step 5: Solve for x
    x = 8,920,858.50/2,501.90
  6. Step 6: Final answer
    x = 3,565.63

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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.