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Finding the Fourth Proportional to 1,440.05, 1,987.20 and 881.46

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Solution

The fourth proportional to 1,440.05, 1,987.20 and 881.46 is: 1,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.05 : 1,987.20 = 881.46 : x
  2. Step 2: Convert to fraction form
    1,440.05/1,987.20 = 881.46/x
  3. Step 3: Cross multiply
    1,440.05x = 1,987.20 × 881.46
  4. Step 4: Simplify right side
    1,440.05x = 1,751,637.31
  5. Step 5: Solve for x
    x = 1,751,637.31/1,440.05
  6. Step 6: Final answer
    x = 1,216.38

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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.