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Finding the Fourth Proportional to 2,877.67, 4,312.97 and 1,490.21

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Solution

The fourth proportional to 2,877.67, 4,312.97 and 1,490.21 is: 2,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.67 : 4,312.97 = 1,490.21 : x
  2. Step 2: Convert to fraction form
    2,877.67/4,312.97 = 1,490.21/x
  3. Step 3: Cross multiply
    2,877.67x = 4,312.97 × 1,490.21
  4. Step 4: Simplify right side
    2,877.67x = 6,427,248.03
  5. Step 5: Solve for x
    x = 6,427,248.03/2,877.67
  6. Step 6: Final answer
    x = 2,233.49

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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.