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Finding the Fourth Proportional to 2,859.12, 4,288.37 and 1,009.89

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Solution

The fourth proportional to 2,859.12, 4,288.37 and 1,009.89 is: 1,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.12 : 4,288.37 = 1,009.89 : x
  2. Step 2: Convert to fraction form
    2,859.12/4,288.37 = 1,009.89/x
  3. Step 3: Cross multiply
    2,859.12x = 4,288.37 × 1,009.89
  4. Step 4: Simplify right side
    2,859.12x = 4,330,776.93
  5. Step 5: Solve for x
    x = 4,330,776.93/2,859.12
  6. Step 6: Final answer
    x = 1,514.72

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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.