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Finding the Fourth Proportional to 2,072.18, 3,109.28 and 840.47

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Solution

The fourth proportional to 2,072.18, 3,109.28 and 840.47 is: 1,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.18 : 3,109.28 = 840.47 : x
  2. Step 2: Convert to fraction form
    2,072.18/3,109.28 = 840.47/x
  3. Step 3: Cross multiply
    2,072.18x = 3,109.28 × 840.47
  4. Step 4: Simplify right side
    2,072.18x = 2,613,256.56
  5. Step 5: Solve for x
    x = 2,613,256.56/2,072.18
  6. Step 6: Final answer
    x = 1,261.11

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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.