Home / 1,541.38-2,312.85-617.20

Finding the Fourth Proportional to 1,541.38, 2,312.85 and 617.20

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Solution

The fourth proportional to 1,541.38, 2,312.85 and 617.20 is: 926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.38 : 2,312.85 = 617.20 : x
  2. Step 2: Convert to fraction form
    1,541.38/2,312.85 = 617.20/x
  3. Step 3: Cross multiply
    1,541.38x = 2,312.85 × 617.20
  4. Step 4: Simplify right side
    1,541.38x = 1,427,495.35
  5. Step 5: Solve for x
    x = 1,427,495.35/1,541.38
  6. Step 6: Final answer
    x = 926.12

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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.