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Finding the Fourth Proportional to 1,985.63, 2,978.84 and 831.38

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Solution

The fourth proportional to 1,985.63, 2,978.84 and 831.38 is: 1,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.63 : 2,978.84 = 831.38 : x
  2. Step 2: Convert to fraction form
    1,985.63/2,978.84 = 831.38/x
  3. Step 3: Cross multiply
    1,985.63x = 2,978.84 × 831.38
  4. Step 4: Simplify right side
    1,985.63x = 2,476,535.18
  5. Step 5: Solve for x
    x = 2,476,535.18/1,985.63
  6. Step 6: Final answer
    x = 1,247.23

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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.