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Finding the Fourth Proportional to 2,742.78, 3,784.92 and 1,547.80

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Solution

The fourth proportional to 2,742.78, 3,784.92 and 1,547.80 is: 2,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.78 : 3,784.92 = 1,547.80 : x
  2. Step 2: Convert to fraction form
    2,742.78/3,784.92 = 1,547.80/x
  3. Step 3: Cross multiply
    2,742.78x = 3,784.92 × 1,547.80
  4. Step 4: Simplify right side
    2,742.78x = 5,858,299.18
  5. Step 5: Solve for x
    x = 5,858,299.18/2,742.78
  6. Step 6: Final answer
    x = 2,135.90

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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.