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Finding the Fourth Proportional to 1,527.36, 2,107.74 and 864.22

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Solution

The fourth proportional to 1,527.36, 2,107.74 and 864.22 is: 1,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.36 : 2,107.74 = 864.22 : x
  2. Step 2: Convert to fraction form
    1,527.36/2,107.74 = 864.22/x
  3. Step 3: Cross multiply
    1,527.36x = 2,107.74 × 864.22
  4. Step 4: Simplify right side
    1,527.36x = 1,821,551.06
  5. Step 5: Solve for x
    x = 1,821,551.06/1,527.36
  6. Step 6: Final answer
    x = 1,192.61

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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.