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Finding the Fourth Proportional to 2,497.64, 3,741.19 and 1,386.99

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Solution

The fourth proportional to 2,497.64, 3,741.19 and 1,386.99 is: 2,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.64 : 3,741.19 = 1,386.99 : x
  2. Step 2: Convert to fraction form
    2,497.64/3,741.19 = 1,386.99/x
  3. Step 3: Cross multiply
    2,497.64x = 3,741.19 × 1,386.99
  4. Step 4: Simplify right side
    2,497.64x = 5,188,989.65
  5. Step 5: Solve for x
    x = 5,188,989.65/2,497.64
  6. Step 6: Final answer
    x = 2,077.56

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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.