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Finding the Fourth Proportional to 1,602.81, 2,400.17 and 1,342.17

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Solution

The fourth proportional to 1,602.81, 2,400.17 and 1,342.17 is: 2,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.81 : 2,400.17 = 1,342.17 : x
  2. Step 2: Convert to fraction form
    1,602.81/2,400.17 = 1,342.17/x
  3. Step 3: Cross multiply
    1,602.81x = 2,400.17 × 1,342.17
  4. Step 4: Simplify right side
    1,602.81x = 3,221,429.46
  5. Step 5: Solve for x
    x = 3,221,429.46/1,602.81
  6. Step 6: Final answer
    x = 2,009.86

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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.