Home / 2,827.24-3,901.38-1,585

Finding the Fourth Proportional to 2,827.24, 3,901.38 and 1,585

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Solution

The fourth proportional to 2,827.24, 3,901.38 and 1,585 is: 2,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.24 : 3,901.38 = 1,585 : x
  2. Step 2: Convert to fraction form
    2,827.24/3,901.38 = 1,585/x
  3. Step 3: Cross multiply
    2,827.24x = 3,901.38 × 1,585
  4. Step 4: Simplify right side
    2,827.24x = 6,183,687.30
  5. Step 5: Solve for x
    x = 6,183,687.30/2,827.24
  6. Step 6: Final answer
    x = 2,187.18

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Why These Related Problems?

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