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Finding the Fourth Proportional to 3,071.66, 4,239.47 and 1,877.18

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Solution

The fourth proportional to 3,071.66, 4,239.47 and 1,877.18 is: 2,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.66 : 4,239.47 = 1,877.18 : x
  2. Step 2: Convert to fraction form
    3,071.66/4,239.47 = 1,877.18/x
  3. Step 3: Cross multiply
    3,071.66x = 4,239.47 × 1,877.18
  4. Step 4: Simplify right side
    3,071.66x = 7,958,231.79
  5. Step 5: Solve for x
    x = 7,958,231.79/3,071.66
  6. Step 6: Final answer
    x = 2,590.86

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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.