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Finding the Fourth Proportional to 1,219.70, 1,829.55 and 1,061.30

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Solution

The fourth proportional to 1,219.70, 1,829.55 and 1,061.30 is: 1,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.70 : 1,829.55 = 1,061.30 : x
  2. Step 2: Convert to fraction form
    1,219.70/1,829.55 = 1,061.30/x
  3. Step 3: Cross multiply
    1,219.70x = 1,829.55 × 1,061.30
  4. Step 4: Simplify right side
    1,219.70x = 1,941,701.42
  5. Step 5: Solve for x
    x = 1,941,701.42/1,219.70
  6. Step 6: Final answer
    x = 1,591.95

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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.