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Finding the Fourth Proportional to 1,760.72, 2,626.90 and 1,678.16

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Solution

The fourth proportional to 1,760.72, 2,626.90 and 1,678.16 is: 2,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.72 : 2,626.90 = 1,678.16 : x
  2. Step 2: Convert to fraction form
    1,760.72/2,626.90 = 1,678.16/x
  3. Step 3: Cross multiply
    1,760.72x = 2,626.90 × 1,678.16
  4. Step 4: Simplify right side
    1,760.72x = 4,408,358.50
  5. Step 5: Solve for x
    x = 4,408,358.50/1,760.72
  6. Step 6: Final answer
    x = 2,503.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.