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Finding the Fourth Proportional to 1,440.57, 1,987.30 and 1,384.68

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Solution

The fourth proportional to 1,440.57, 1,987.30 and 1,384.68 is: 1,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.57 : 1,987.30 = 1,384.68 : x
  2. Step 2: Convert to fraction form
    1,440.57/1,987.30 = 1,384.68/x
  3. Step 3: Cross multiply
    1,440.57x = 1,987.30 × 1,384.68
  4. Step 4: Simplify right side
    1,440.57x = 2,751,774.56
  5. Step 5: Solve for x
    x = 2,751,774.56/1,440.57
  6. Step 6: Final answer
    x = 1,910.20

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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.