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Finding the Fourth Proportional to 1,440.38, 1,987.72 and 943.84

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Solution

The fourth proportional to 1,440.38, 1,987.72 and 943.84 is: 1,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.38 : 1,987.72 = 943.84 : x
  2. Step 2: Convert to fraction form
    1,440.38/1,987.72 = 943.84/x
  3. Step 3: Cross multiply
    1,440.38x = 1,987.72 × 943.84
  4. Step 4: Simplify right side
    1,440.38x = 1,876,089.64
  5. Step 5: Solve for x
    x = 1,876,089.64/1,440.38
  6. Step 6: Final answer
    x = 1,302.50

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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.