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Finding the Fourth Proportional to 2,774.55, 4,158.63 and 1,386.48

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Solution

The fourth proportional to 2,774.55, 4,158.63 and 1,386.48 is: 2,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.55 : 4,158.63 = 1,386.48 : x
  2. Step 2: Convert to fraction form
    2,774.55/4,158.63 = 1,386.48/x
  3. Step 3: Cross multiply
    2,774.55x = 4,158.63 × 1,386.48
  4. Step 4: Simplify right side
    2,774.55x = 5,765,857.32
  5. Step 5: Solve for x
    x = 5,765,857.32/2,774.55
  6. Step 6: Final answer
    x = 2,078.12

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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.