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Finding the Fourth Proportional to 2,910.78, 4,014.12 and 2,246.58

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Solution

The fourth proportional to 2,910.78, 4,014.12 and 2,246.58 is: 3,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.78 : 4,014.12 = 2,246.58 : x
  2. Step 2: Convert to fraction form
    2,910.78/4,014.12 = 2,246.58/x
  3. Step 3: Cross multiply
    2,910.78x = 4,014.12 × 2,246.58
  4. Step 4: Simplify right side
    2,910.78x = 9,018,041.71
  5. Step 5: Solve for x
    x = 9,018,041.71/2,910.78
  6. Step 6: Final answer
    x = 3,098.15

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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.