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Finding the Fourth Proportional to 2,774.61, 4,158.30 and 2,480.40

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Solution

The fourth proportional to 2,774.61, 4,158.30 and 2,480.40 is: 3,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.61 : 4,158.30 = 2,480.40 : x
  2. Step 2: Convert to fraction form
    2,774.61/4,158.30 = 2,480.40/x
  3. Step 3: Cross multiply
    2,774.61x = 4,158.30 × 2,480.40
  4. Step 4: Simplify right side
    2,774.61x = 10,314,247.32
  5. Step 5: Solve for x
    x = 10,314,247.32/2,774.61
  6. Step 6: Final answer
    x = 3,717.37

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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.