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Finding the Fourth Proportional to 2,141.66, 3,207.62 and 1,925.39

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Solution

The fourth proportional to 2,141.66, 3,207.62 and 1,925.39 is: 2,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.66 : 3,207.62 = 1,925.39 : x
  2. Step 2: Convert to fraction form
    2,141.66/3,207.62 = 1,925.39/x
  3. Step 3: Cross multiply
    2,141.66x = 3,207.62 × 1,925.39
  4. Step 4: Simplify right side
    2,141.66x = 6,175,893.81
  5. Step 5: Solve for x
    x = 6,175,893.81/2,141.66
  6. Step 6: Final answer
    x = 2,883.70

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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.