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Finding the Fourth Proportional to 1,421.38, 1,961.67 and 831.93

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Solution

The fourth proportional to 1,421.38, 1,961.67 and 831.93 is: 1,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.38 : 1,961.67 = 831.93 : x
  2. Step 2: Convert to fraction form
    1,421.38/1,961.67 = 831.93/x
  3. Step 3: Cross multiply
    1,421.38x = 1,961.67 × 831.93
  4. Step 4: Simplify right side
    1,421.38x = 1,631,962.31
  5. Step 5: Solve for x
    x = 1,631,962.31/1,421.38
  6. Step 6: Final answer
    x = 1,148.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.