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Finding the Fourth Proportional to 2,287.88, 3,415.24 and 2,011.08

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Solution

The fourth proportional to 2,287.88, 3,415.24 and 2,011.08 is: 3,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.88 : 3,415.24 = 2,011.08 : x
  2. Step 2: Convert to fraction form
    2,287.88/3,415.24 = 2,011.08/x
  3. Step 3: Cross multiply
    2,287.88x = 3,415.24 × 2,011.08
  4. Step 4: Simplify right side
    2,287.88x = 6,868,320.86
  5. Step 5: Solve for x
    x = 6,868,320.86/2,287.88
  6. Step 6: Final answer
    x = 3,002.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.