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Finding the Fourth Proportional to 1,686.45, 2,326.91 and 1,013.95

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Solution

The fourth proportional to 1,686.45, 2,326.91 and 1,013.95 is: 1,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.45 : 2,326.91 = 1,013.95 : x
  2. Step 2: Convert to fraction form
    1,686.45/2,326.91 = 1,013.95/x
  3. Step 3: Cross multiply
    1,686.45x = 2,326.91 × 1,013.95
  4. Step 4: Simplify right side
    1,686.45x = 2,359,364.20
  5. Step 5: Solve for x
    x = 2,359,364.20/1,686.45
  6. Step 6: Final answer
    x = 1,399.01

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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.