Home / 1,580.49-2,182.10-1,082.97

Finding the Fourth Proportional to 1,580.49, 2,182.10 and 1,082.97

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Solution

The fourth proportional to 1,580.49, 2,182.10 and 1,082.97 is: 1,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.49 : 2,182.10 = 1,082.97 : x
  2. Step 2: Convert to fraction form
    1,580.49/2,182.10 = 1,082.97/x
  3. Step 3: Cross multiply
    1,580.49x = 2,182.10 × 1,082.97
  4. Step 4: Simplify right side
    1,580.49x = 2,363,143.42
  5. Step 5: Solve for x
    x = 2,363,143.42/1,580.49
  6. Step 6: Final answer
    x = 1,495.20

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1.5x scale

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.