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Finding the Fourth Proportional to 2,118.43, 2,920.62 and 1,738.93

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Solution

The fourth proportional to 2,118.43, 2,920.62 and 1,738.93 is: 2,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.43 : 2,920.62 = 1,738.93 : x
  2. Step 2: Convert to fraction form
    2,118.43/2,920.62 = 1,738.93/x
  3. Step 3: Cross multiply
    2,118.43x = 2,920.62 × 1,738.93
  4. Step 4: Simplify right side
    2,118.43x = 5,078,753.74
  5. Step 5: Solve for x
    x = 5,078,753.74/2,118.43
  6. Step 6: Final answer
    x = 2,397.41

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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.