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Finding the Fourth Proportional to 1,626.93, 2,442.84 and 934.38

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Solution

The fourth proportional to 1,626.93, 2,442.84 and 934.38 is: 1,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.93 : 2,442.84 = 934.38 : x
  2. Step 2: Convert to fraction form
    1,626.93/2,442.84 = 934.38/x
  3. Step 3: Cross multiply
    1,626.93x = 2,442.84 × 934.38
  4. Step 4: Simplify right side
    1,626.93x = 2,282,540.84
  5. Step 5: Solve for x
    x = 2,282,540.84/1,626.93
  6. Step 6: Final answer
    x = 1,402.97

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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.