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Finding the Fourth Proportional to 2,392.04, 3,588.56 and 831.92

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Solution

The fourth proportional to 2,392.04, 3,588.56 and 831.92 is: 1,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.04 : 3,588.56 = 831.92 : x
  2. Step 2: Convert to fraction form
    2,392.04/3,588.56 = 831.92/x
  3. Step 3: Cross multiply
    2,392.04x = 3,588.56 × 831.92
  4. Step 4: Simplify right side
    2,392.04x = 2,985,394.84
  5. Step 5: Solve for x
    x = 2,985,394.84/2,392.04
  6. Step 6: Final answer
    x = 1,248.05

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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.