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Finding the Fourth Proportional to 3,149.76, 4,723.02 and 1,300.53

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Solution

The fourth proportional to 3,149.76, 4,723.02 and 1,300.53 is: 1,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.76 : 4,723.02 = 1,300.53 : x
  2. Step 2: Convert to fraction form
    3,149.76/4,723.02 = 1,300.53/x
  3. Step 3: Cross multiply
    3,149.76x = 4,723.02 × 1,300.53
  4. Step 4: Simplify right side
    3,149.76x = 6,142,429.20
  5. Step 5: Solve for x
    x = 6,142,429.20/3,149.76
  6. Step 6: Final answer
    x = 1,950.13

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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.