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Finding the Fourth Proportional to 1,585.32, 2,376.77 and 969.32

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Solution

The fourth proportional to 1,585.32, 2,376.77 and 969.32 is: 1,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.32 : 2,376.77 = 969.32 : x
  2. Step 2: Convert to fraction form
    1,585.32/2,376.77 = 969.32/x
  3. Step 3: Cross multiply
    1,585.32x = 2,376.77 × 969.32
  4. Step 4: Simplify right side
    1,585.32x = 2,303,833.97
  5. Step 5: Solve for x
    x = 2,303,833.97/1,585.32
  6. Step 6: Final answer
    x = 1,453.23

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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.