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Finding the Fourth Proportional to 3,053.81, 4,580.70 and 862.53

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Solution

The fourth proportional to 3,053.81, 4,580.70 and 862.53 is: 1,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.81 : 4,580.70 = 862.53 : x
  2. Step 2: Convert to fraction form
    3,053.81/4,580.70 = 862.53/x
  3. Step 3: Cross multiply
    3,053.81x = 4,580.70 × 862.53
  4. Step 4: Simplify right side
    3,053.81x = 3,950,991.17
  5. Step 5: Solve for x
    x = 3,950,991.17/3,053.81
  6. Step 6: Final answer
    x = 1,293.79

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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.