Home / 1,587.24-2,189.88-923.94

Finding the Fourth Proportional to 1,587.24, 2,189.88 and 923.94

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Solution

The fourth proportional to 1,587.24, 2,189.88 and 923.94 is: 1,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.24 : 2,189.88 = 923.94 : x
  2. Step 2: Convert to fraction form
    1,587.24/2,189.88 = 923.94/x
  3. Step 3: Cross multiply
    1,587.24x = 2,189.88 × 923.94
  4. Step 4: Simplify right side
    1,587.24x = 2,023,317.73
  5. Step 5: Solve for x
    x = 2,023,317.73/1,587.24
  6. Step 6: Final answer
    x = 1,274.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.