Home / 1,527.19-2,107.38-864.10

Finding the Fourth Proportional to 1,527.19, 2,107.38 and 864.10

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Solution

The fourth proportional to 1,527.19, 2,107.38 and 864.10 is: 1,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.19 : 2,107.38 = 864.10 : x
  2. Step 2: Convert to fraction form
    1,527.19/2,107.38 = 864.10/x
  3. Step 3: Cross multiply
    1,527.19x = 2,107.38 × 864.10
  4. Step 4: Simplify right side
    1,527.19x = 1,820,987.06
  5. Step 5: Solve for x
    x = 1,820,987.06/1,527.19
  6. Step 6: Final answer
    x = 1,192.38

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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.