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Finding the Fourth Proportional to 2,947.95, 4,066.08 and 2,502.77

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Solution

The fourth proportional to 2,947.95, 4,066.08 and 2,502.77 is: 3,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.95 : 4,066.08 = 2,502.77 : x
  2. Step 2: Convert to fraction form
    2,947.95/4,066.08 = 2,502.77/x
  3. Step 3: Cross multiply
    2,947.95x = 4,066.08 × 2,502.77
  4. Step 4: Simplify right side
    2,947.95x = 10,176,463.04
  5. Step 5: Solve for x
    x = 10,176,463.04/2,947.95
  6. Step 6: Final answer
    x = 3,452.05

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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.