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Finding the Fourth Proportional to 3,001.76, 4,501.15 and 921.26

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Solution

The fourth proportional to 3,001.76, 4,501.15 and 921.26 is: 1,381.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.76 : 4,501.15 = 921.26 : x
  2. Step 2: Convert to fraction form
    3,001.76/4,501.15 = 921.26/x
  3. Step 3: Cross multiply
    3,001.76x = 4,501.15 × 921.26
  4. Step 4: Simplify right side
    3,001.76x = 4,146,729.45
  5. Step 5: Solve for x
    x = 4,146,729.45/3,001.76
  6. Step 6: Final answer
    x = 1,381.44

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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.