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Finding the Fourth Proportional to 3,001.70, 4,494.20 and 2,013.16

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Solution

The fourth proportional to 3,001.70, 4,494.20 and 2,013.16 is: 3,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.70 : 4,494.20 = 2,013.16 : x
  2. Step 2: Convert to fraction form
    3,001.70/4,494.20 = 2,013.16/x
  3. Step 3: Cross multiply
    3,001.70x = 4,494.20 × 2,013.16
  4. Step 4: Simplify right side
    3,001.70x = 9,047,543.67
  5. Step 5: Solve for x
    x = 9,047,543.67/3,001.70
  6. Step 6: Final answer
    x = 3,014.14

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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.