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Finding the Fourth Proportional to 2,701.30, 4,051.96 and 1,878.74

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Solution

The fourth proportional to 2,701.30, 4,051.96 and 1,878.74 is: 2,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.30 : 4,051.96 = 1,878.74 : x
  2. Step 2: Convert to fraction form
    2,701.30/4,051.96 = 1,878.74/x
  3. Step 3: Cross multiply
    2,701.30x = 4,051.96 × 1,878.74
  4. Step 4: Simplify right side
    2,701.30x = 7,612,579.33
  5. Step 5: Solve for x
    x = 7,612,579.33/2,701.30
  6. Step 6: Final answer
    x = 2,818.12

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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.