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Finding the Fourth Proportional to 2,377.71, 3,567.92 and 1,598.09

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Solution

The fourth proportional to 2,377.71, 3,567.92 and 1,598.09 is: 2,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.71 : 3,567.92 = 1,598.09 : x
  2. Step 2: Convert to fraction form
    2,377.71/3,567.92 = 1,598.09/x
  3. Step 3: Cross multiply
    2,377.71x = 3,567.92 × 1,598.09
  4. Step 4: Simplify right side
    2,377.71x = 5,701,831.44
  5. Step 5: Solve for x
    x = 5,701,831.44/2,377.71
  6. Step 6: Final answer
    x = 2,398.03

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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.