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Finding the Fourth Proportional to 2,437.88, 3,364.31 and 1,740.47

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Solution

The fourth proportional to 2,437.88, 3,364.31 and 1,740.47 is: 2,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.88 : 3,364.31 = 1,740.47 : x
  2. Step 2: Convert to fraction form
    2,437.88/3,364.31 = 1,740.47/x
  3. Step 3: Cross multiply
    2,437.88x = 3,364.31 × 1,740.47
  4. Step 4: Simplify right side
    2,437.88x = 5,855,468.16
  5. Step 5: Solve for x
    x = 5,855,468.16/2,437.88
  6. Step 6: Final answer
    x = 2,401.87

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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.