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Finding the Fourth Proportional to 1,686.09, 2,326.80 and 1,013.79

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Solution

The fourth proportional to 1,686.09, 2,326.80 and 1,013.79 is: 1,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.09 : 2,326.80 = 1,013.79 : x
  2. Step 2: Convert to fraction form
    1,686.09/2,326.80 = 1,013.79/x
  3. Step 3: Cross multiply
    1,686.09x = 2,326.80 × 1,013.79
  4. Step 4: Simplify right side
    1,686.09x = 2,358,886.57
  5. Step 5: Solve for x
    x = 2,358,886.57/1,686.09
  6. Step 6: Final answer
    x = 1,399.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.