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Finding the Fourth Proportional to 2,008.59, 3,011.87 and 954.10

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Solution

The fourth proportional to 2,008.59, 3,011.87 and 954.10 is: 1,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.59 : 3,011.87 = 954.10 : x
  2. Step 2: Convert to fraction form
    2,008.59/3,011.87 = 954.10/x
  3. Step 3: Cross multiply
    2,008.59x = 3,011.87 × 954.10
  4. Step 4: Simplify right side
    2,008.59x = 2,873,609.01
  5. Step 5: Solve for x
    x = 2,873,609.01/2,008.59
  6. Step 6: Final answer
    x = 1,430.66

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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.