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Finding the Fourth Proportional to 1,378.62, 1,898.15 and 1,168.35

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Solution

The fourth proportional to 1,378.62, 1,898.15 and 1,168.35 is: 1,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.62 : 1,898.15 = 1,168.35 : x
  2. Step 2: Convert to fraction form
    1,378.62/1,898.15 = 1,168.35/x
  3. Step 3: Cross multiply
    1,378.62x = 1,898.15 × 1,168.35
  4. Step 4: Simplify right side
    1,378.62x = 2,217,697.71
  5. Step 5: Solve for x
    x = 2,217,697.71/1,378.62
  6. Step 6: Final answer
    x = 1,608.64

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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.