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Finding the Fourth Proportional to 1,381.88, 2,071.08 and 649.91

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Solution

The fourth proportional to 1,381.88, 2,071.08 and 649.91 is: 974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.88 : 2,071.08 = 649.91 : x
  2. Step 2: Convert to fraction form
    1,381.88/2,071.08 = 649.91/x
  3. Step 3: Cross multiply
    1,381.88x = 2,071.08 × 649.91
  4. Step 4: Simplify right side
    1,381.88x = 1,346,020.78
  5. Step 5: Solve for x
    x = 1,346,020.78/1,381.88
  6. Step 6: Final answer
    x = 974.05

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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.