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Finding the Fourth Proportional to 1,585.62, 2,380.46 and 1,155.51

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Solution

The fourth proportional to 1,585.62, 2,380.46 and 1,155.51 is: 1,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.62 : 2,380.46 = 1,155.51 : x
  2. Step 2: Convert to fraction form
    1,585.62/2,380.46 = 1,155.51/x
  3. Step 3: Cross multiply
    1,585.62x = 2,380.46 × 1,155.51
  4. Step 4: Simplify right side
    1,585.62x = 2,750,639.56
  5. Step 5: Solve for x
    x = 2,750,639.56/1,585.62
  6. Step 6: Final answer
    x = 1,734.74

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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.