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Finding the Fourth Proportional to 2,373.44, 3,560.48 and 913.04

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Solution

The fourth proportional to 2,373.44, 3,560.48 and 913.04 is: 1,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.44 : 3,560.48 = 913.04 : x
  2. Step 2: Convert to fraction form
    2,373.44/3,560.48 = 913.04/x
  3. Step 3: Cross multiply
    2,373.44x = 3,560.48 × 913.04
  4. Step 4: Simplify right side
    2,373.44x = 3,250,860.66
  5. Step 5: Solve for x
    x = 3,250,860.66/2,373.44
  6. Step 6: Final answer
    x = 1,369.68

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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.