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Finding the Fourth Proportional to 1,440.90, 1,988.82 and 851.61

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Solution

The fourth proportional to 1,440.90, 1,988.82 and 851.61 is: 1,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.90 : 1,988.82 = 851.61 : x
  2. Step 2: Convert to fraction form
    1,440.90/1,988.82 = 851.61/x
  3. Step 3: Cross multiply
    1,440.90x = 1,988.82 × 851.61
  4. Step 4: Simplify right side
    1,440.90x = 1,693,699.00
  5. Step 5: Solve for x
    x = 1,693,699.00/1,440.90
  6. Step 6: Final answer
    x = 1,175.45

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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.