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Finding the Fourth Proportional to 1,574.55, 2,354.70 and 1,179.53

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Solution

The fourth proportional to 1,574.55, 2,354.70 and 1,179.53 is: 1,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.55 : 2,354.70 = 1,179.53 : x
  2. Step 2: Convert to fraction form
    1,574.55/2,354.70 = 1,179.53/x
  3. Step 3: Cross multiply
    1,574.55x = 2,354.70 × 1,179.53
  4. Step 4: Simplify right side
    1,574.55x = 2,777,440.77
  5. Step 5: Solve for x
    x = 2,777,440.77/1,574.55
  6. Step 6: Final answer
    x = 1,763.96

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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.