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Finding the Fourth Proportional to 1,919.25, 2,878.35 and 686.43

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Solution

The fourth proportional to 1,919.25, 2,878.35 and 686.43 is: 1,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.25 : 2,878.35 = 686.43 : x
  2. Step 2: Convert to fraction form
    1,919.25/2,878.35 = 686.43/x
  3. Step 3: Cross multiply
    1,919.25x = 2,878.35 × 686.43
  4. Step 4: Simplify right side
    1,919.25x = 1,975,785.79
  5. Step 5: Solve for x
    x = 1,975,785.79/1,919.25
  6. Step 6: Final answer
    x = 1,029.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.