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Finding the Fourth Proportional to 1,686.21, 2,326.85 and 978.08

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Solution

The fourth proportional to 1,686.21, 2,326.85 and 978.08 is: 1,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.21 : 2,326.85 = 978.08 : x
  2. Step 2: Convert to fraction form
    1,686.21/2,326.85 = 978.08/x
  3. Step 3: Cross multiply
    1,686.21x = 2,326.85 × 978.08
  4. Step 4: Simplify right side
    1,686.21x = 2,275,833.81
  5. Step 5: Solve for x
    x = 2,275,833.81/1,686.21
  6. Step 6: Final answer
    x = 1,349.68

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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.