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Finding the Fourth Proportional to 2,920.84, 4,377.62 and 1,460.41

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Solution

The fourth proportional to 2,920.84, 4,377.62 and 1,460.41 is: 2,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.84 : 4,377.62 = 1,460.41 : x
  2. Step 2: Convert to fraction form
    2,920.84/4,377.62 = 1,460.41/x
  3. Step 3: Cross multiply
    2,920.84x = 4,377.62 × 1,460.41
  4. Step 4: Simplify right side
    2,920.84x = 6,393,120.93
  5. Step 5: Solve for x
    x = 6,393,120.93/2,920.84
  6. Step 6: Final answer
    x = 2,188.79

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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.