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Finding the Fourth Proportional to 2,546.61, 3,514.62 and 1,948.25

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Solution

The fourth proportional to 2,546.61, 3,514.62 and 1,948.25 is: 2,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.61 : 3,514.62 = 1,948.25 : x
  2. Step 2: Convert to fraction form
    2,546.61/3,514.62 = 1,948.25/x
  3. Step 3: Cross multiply
    2,546.61x = 3,514.62 × 1,948.25
  4. Step 4: Simplify right side
    2,546.61x = 6,847,374.51
  5. Step 5: Solve for x
    x = 6,847,374.51/2,546.61
  6. Step 6: Final answer
    x = 2,688.82

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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.