Home / 1,588.76-2,382.96-972.44

Finding the Fourth Proportional to 1,588.76, 2,382.96 and 972.44

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Solution

The fourth proportional to 1,588.76, 2,382.96 and 972.44 is: 1,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.76 : 2,382.96 = 972.44 : x
  2. Step 2: Convert to fraction form
    1,588.76/2,382.96 = 972.44/x
  3. Step 3: Cross multiply
    1,588.76x = 2,382.96 × 972.44
  4. Step 4: Simplify right side
    1,588.76x = 2,317,285.62
  5. Step 5: Solve for x
    x = 2,317,285.62/1,588.76
  6. Step 6: Final answer
    x = 1,458.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.