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Finding the Fourth Proportional to 1,678.88, 2,317.28 and 1,119.52

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Solution

The fourth proportional to 1,678.88, 2,317.28 and 1,119.52 is: 1,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.88 : 2,317.28 = 1,119.52 : x
  2. Step 2: Convert to fraction form
    1,678.88/2,317.28 = 1,119.52/x
  3. Step 3: Cross multiply
    1,678.88x = 2,317.28 × 1,119.52
  4. Step 4: Simplify right side
    1,678.88x = 2,594,241.31
  5. Step 5: Solve for x
    x = 2,594,241.31/1,678.88
  6. Step 6: Final answer
    x = 1,545.22

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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.