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Finding the Fourth Proportional to 2,377, 3,281.88 and 1,447.12

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Solution

The fourth proportional to 2,377, 3,281.88 and 1,447.12 is: 1,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377 : 3,281.88 = 1,447.12 : x
  2. Step 2: Convert to fraction form
    2,377/3,281.88 = 1,447.12/x
  3. Step 3: Cross multiply
    2,377x = 3,281.88 × 1,447.12
  4. Step 4: Simplify right side
    2,377x = 4,749,274.19
  5. Step 5: Solve for x
    x = 4,749,274.19/2,377
  6. Step 6: Final answer
    x = 1,998.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.