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Finding the Fourth Proportional to 1,985.23, 2,979.47 and 831.79

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Solution

The fourth proportional to 1,985.23, 2,979.47 and 831.79 is: 1,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.23 : 2,979.47 = 831.79 : x
  2. Step 2: Convert to fraction form
    1,985.23/2,979.47 = 831.79/x
  3. Step 3: Cross multiply
    1,985.23x = 2,979.47 × 831.79
  4. Step 4: Simplify right side
    1,985.23x = 2,478,293.35
  5. Step 5: Solve for x
    x = 2,478,293.35/1,985.23
  6. Step 6: Final answer
    x = 1,248.37

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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.