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Finding the Fourth Proportional to 2,691.42, 4,036.35 and 1,047.60

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Solution

The fourth proportional to 2,691.42, 4,036.35 and 1,047.60 is: 1,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.42 : 4,036.35 = 1,047.60 : x
  2. Step 2: Convert to fraction form
    2,691.42/4,036.35 = 1,047.60/x
  3. Step 3: Cross multiply
    2,691.42x = 4,036.35 × 1,047.60
  4. Step 4: Simplify right side
    2,691.42x = 4,228,480.26
  5. Step 5: Solve for x
    x = 4,228,480.26/2,691.42
  6. Step 6: Final answer
    x = 1,571.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.