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Finding the Fourth Proportional to 1,686.84, 2,328 and 1,023.54

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Solution

The fourth proportional to 1,686.84, 2,328 and 1,023.54 is: 1,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.84 : 2,328 = 1,023.54 : x
  2. Step 2: Convert to fraction form
    1,686.84/2,328 = 1,023.54/x
  3. Step 3: Cross multiply
    1,686.84x = 2,328 × 1,023.54
  4. Step 4: Simplify right side
    1,686.84x = 2,382,801.12
  5. Step 5: Solve for x
    x = 2,382,801.12/1,686.84
  6. Step 6: Final answer
    x = 1,412.58

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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.