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Finding the Fourth Proportional to 1,454.85, 2,178.63 and 1,019.88

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Solution

The fourth proportional to 1,454.85, 2,178.63 and 1,019.88 is: 1,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.85 : 2,178.63 = 1,019.88 : x
  2. Step 2: Convert to fraction form
    1,454.85/2,178.63 = 1,019.88/x
  3. Step 3: Cross multiply
    1,454.85x = 2,178.63 × 1,019.88
  4. Step 4: Simplify right side
    1,454.85x = 2,221,941.16
  5. Step 5: Solve for x
    x = 2,221,941.16/1,454.85
  6. Step 6: Final answer
    x = 1,527.26

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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.