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Finding the Fourth Proportional to 2,288.13, 3,433.41 and 988.08

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Solution

The fourth proportional to 2,288.13, 3,433.41 and 988.08 is: 1,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.13 : 3,433.41 = 988.08 : x
  2. Step 2: Convert to fraction form
    2,288.13/3,433.41 = 988.08/x
  3. Step 3: Cross multiply
    2,288.13x = 3,433.41 × 988.08
  4. Step 4: Simplify right side
    2,288.13x = 3,392,483.75
  5. Step 5: Solve for x
    x = 3,392,483.75/2,288.13
  6. Step 6: Final answer
    x = 1,482.64

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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.