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Finding the Fourth Proportional to 2,697.85, 4,047.28 and 1,054.30

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Solution

The fourth proportional to 2,697.85, 4,047.28 and 1,054.30 is: 1,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.85 : 4,047.28 = 1,054.30 : x
  2. Step 2: Convert to fraction form
    2,697.85/4,047.28 = 1,054.30/x
  3. Step 3: Cross multiply
    2,697.85x = 4,047.28 × 1,054.30
  4. Step 4: Simplify right side
    2,697.85x = 4,267,034.55
  5. Step 5: Solve for x
    x = 4,267,034.55/2,697.85
  6. Step 6: Final answer
    x = 1,581.64

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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.