Home / 2,058.16-3,082.68-1,030

Finding the Fourth Proportional to 2,058.16, 3,082.68 and 1,030

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Solution

The fourth proportional to 2,058.16, 3,082.68 and 1,030 is: 1,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.16 : 3,082.68 = 1,030 : x
  2. Step 2: Convert to fraction form
    2,058.16/3,082.68 = 1,030/x
  3. Step 3: Cross multiply
    2,058.16x = 3,082.68 × 1,030
  4. Step 4: Simplify right side
    2,058.16x = 3,175,160.40
  5. Step 5: Solve for x
    x = 3,175,160.40/2,058.16
  6. Step 6: Final answer
    x = 1,542.72

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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.