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Finding the Fourth Proportional to 1,440.43, 1,987.20 and 909.13

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Solution

The fourth proportional to 1,440.43, 1,987.20 and 909.13 is: 1,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.43 : 1,987.20 = 909.13 : x
  2. Step 2: Convert to fraction form
    1,440.43/1,987.20 = 909.13/x
  3. Step 3: Cross multiply
    1,440.43x = 1,987.20 × 909.13
  4. Step 4: Simplify right side
    1,440.43x = 1,806,623.14
  5. Step 5: Solve for x
    x = 1,806,623.14/1,440.43
  6. Step 6: Final answer
    x = 1,254.22

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