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Finding the Fourth Proportional to 1,618.86, 2,234.14 and 910.78

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Solution

The fourth proportional to 1,618.86, 2,234.14 and 910.78 is: 1,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.86 : 2,234.14 = 910.78 : x
  2. Step 2: Convert to fraction form
    1,618.86/2,234.14 = 910.78/x
  3. Step 3: Cross multiply
    1,618.86x = 2,234.14 × 910.78
  4. Step 4: Simplify right side
    1,618.86x = 2,034,810.03
  5. Step 5: Solve for x
    x = 2,034,810.03/1,618.86
  6. Step 6: Final answer
    x = 1,256.94

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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.