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Finding the Fourth Proportional to 2,888.16, 3,981.60 and 2,266.08

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Solution

The fourth proportional to 2,888.16, 3,981.60 and 2,266.08 is: 3,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.16 : 3,981.60 = 2,266.08 : x
  2. Step 2: Convert to fraction form
    2,888.16/3,981.60 = 2,266.08/x
  3. Step 3: Cross multiply
    2,888.16x = 3,981.60 × 2,266.08
  4. Step 4: Simplify right side
    2,888.16x = 9,022,624.13
  5. Step 5: Solve for x
    x = 9,022,624.13/2,888.16
  6. Step 6: Final answer
    x = 3,124.00

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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.