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Finding the Fourth Proportional to 2,776.34, 4,162.08 and 1,046.18

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Solution

The fourth proportional to 2,776.34, 4,162.08 and 1,046.18 is: 1,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.34 : 4,162.08 = 1,046.18 : x
  2. Step 2: Convert to fraction form
    2,776.34/4,162.08 = 1,046.18/x
  3. Step 3: Cross multiply
    2,776.34x = 4,162.08 × 1,046.18
  4. Step 4: Simplify right side
    2,776.34x = 4,354,284.85
  5. Step 5: Solve for x
    x = 4,354,284.85/2,776.34
  6. Step 6: Final answer
    x = 1,568.35

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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.