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Finding the Fourth Proportional to 3,023.79, 4,534.20 and 1,774.70

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Solution

The fourth proportional to 3,023.79, 4,534.20 and 1,774.70 is: 2,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.79 : 4,534.20 = 1,774.70 : x
  2. Step 2: Convert to fraction form
    3,023.79/4,534.20 = 1,774.70/x
  3. Step 3: Cross multiply
    3,023.79x = 4,534.20 × 1,774.70
  4. Step 4: Simplify right side
    3,023.79x = 8,046,844.74
  5. Step 5: Solve for x
    x = 8,046,844.74/3,023.79
  6. Step 6: Final answer
    x = 2,661.18

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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.