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Finding the Fourth Proportional to 1,572.81, 2,360.10 and 1,448.88

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Solution

The fourth proportional to 1,572.81, 2,360.10 and 1,448.88 is: 2,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.81 : 2,360.10 = 1,448.88 : x
  2. Step 2: Convert to fraction form
    1,572.81/2,360.10 = 1,448.88/x
  3. Step 3: Cross multiply
    1,572.81x = 2,360.10 × 1,448.88
  4. Step 4: Simplify right side
    1,572.81x = 3,419,501.69
  5. Step 5: Solve for x
    x = 3,419,501.69/1,572.81
  6. Step 6: Final answer
    x = 2,174.14

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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.