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Finding the Fourth Proportional to 2,895.06, 3,992.68 and 2,264.60

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Solution

The fourth proportional to 2,895.06, 3,992.68 and 2,264.60 is: 3,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.06 : 3,992.68 = 2,264.60 : x
  2. Step 2: Convert to fraction form
    2,895.06/3,992.68 = 2,264.60/x
  3. Step 3: Cross multiply
    2,895.06x = 3,992.68 × 2,264.60
  4. Step 4: Simplify right side
    2,895.06x = 9,041,823.13
  5. Step 5: Solve for x
    x = 9,041,823.13/2,895.06
  6. Step 6: Final answer
    x = 3,123.19

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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.