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Finding the Fourth Proportional to 3,118.64, 4,681.33 and 2,774.18

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Solution

The fourth proportional to 3,118.64, 4,681.33 and 2,774.18 is: 4,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.64 : 4,681.33 = 2,774.18 : x
  2. Step 2: Convert to fraction form
    3,118.64/4,681.33 = 2,774.18/x
  3. Step 3: Cross multiply
    3,118.64x = 4,681.33 × 2,774.18
  4. Step 4: Simplify right side
    3,118.64x = 12,986,874.17
  5. Step 5: Solve for x
    x = 12,986,874.17/3,118.64
  6. Step 6: Final answer
    x = 4,164.27

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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.