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Finding the Fourth Proportional to 1,686.24, 2,328 and 1,066.08

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Solution

The fourth proportional to 1,686.24, 2,328 and 1,066.08 is: 1,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.24 : 2,328 = 1,066.08 : x
  2. Step 2: Convert to fraction form
    1,686.24/2,328 = 1,066.08/x
  3. Step 3: Cross multiply
    1,686.24x = 2,328 × 1,066.08
  4. Step 4: Simplify right side
    1,686.24x = 2,481,834.24
  5. Step 5: Solve for x
    x = 2,481,834.24/1,686.24
  6. Step 6: Final answer
    x = 1,471.82

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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.