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Finding the Fourth Proportional to 2,777.94, 4,165.29 and 1,478.70

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Solution

The fourth proportional to 2,777.94, 4,165.29 and 1,478.70 is: 2,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.94 : 4,165.29 = 1,478.70 : x
  2. Step 2: Convert to fraction form
    2,777.94/4,165.29 = 1,478.70/x
  3. Step 3: Cross multiply
    2,777.94x = 4,165.29 × 1,478.70
  4. Step 4: Simplify right side
    2,777.94x = 6,159,214.32
  5. Step 5: Solve for x
    x = 6,159,214.32/2,777.94
  6. Step 6: Final answer
    x = 2,217.19

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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.