Home / 1,389.80-2,082.29-977.00

Finding the Fourth Proportional to 1,389.80, 2,082.29 and 977.00

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Solution

The fourth proportional to 1,389.80, 2,082.29 and 977.00 is: 1,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.80 : 2,082.29 = 977.00 : x
  2. Step 2: Convert to fraction form
    1,389.80/2,082.29 = 977.00/x
  3. Step 3: Cross multiply
    1,389.80x = 2,082.29 × 977.00
  4. Step 4: Simplify right side
    1,389.80x = 2,034,397.65
  5. Step 5: Solve for x
    x = 2,034,397.65/1,389.80
  6. Step 6: Final answer
    x = 1,463.80

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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.