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Finding the Fourth Proportional to 1,255.16, 1,874.48 and 1,071.09

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Solution

The fourth proportional to 1,255.16, 1,874.48 and 1,071.09 is: 1,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.16 : 1,874.48 = 1,071.09 : x
  2. Step 2: Convert to fraction form
    1,255.16/1,874.48 = 1,071.09/x
  3. Step 3: Cross multiply
    1,255.16x = 1,874.48 × 1,071.09
  4. Step 4: Simplify right side
    1,255.16x = 2,007,731.43
  5. Step 5: Solve for x
    x = 2,007,731.43/1,255.16
  6. Step 6: Final answer
    x = 1,599.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.