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Finding the Fourth Proportional to 2,859.40, 4,290.24 and 1,010.70

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Solution

The fourth proportional to 2,859.40, 4,290.24 and 1,010.70 is: 1,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.40 : 4,290.24 = 1,010.70 : x
  2. Step 2: Convert to fraction form
    2,859.40/4,290.24 = 1,010.70/x
  3. Step 3: Cross multiply
    2,859.40x = 4,290.24 × 1,010.70
  4. Step 4: Simplify right side
    2,859.40x = 4,336,145.57
  5. Step 5: Solve for x
    x = 4,336,145.57/2,859.40
  6. Step 6: Final answer
    x = 1,516.45

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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.