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Finding the Fourth Proportional to 2,860.70, 4,288.17 and 1,010.66

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Solution

The fourth proportional to 2,860.70, 4,288.17 and 1,010.66 is: 1,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.70 : 4,288.17 = 1,010.66 : x
  2. Step 2: Convert to fraction form
    2,860.70/4,288.17 = 1,010.66/x
  3. Step 3: Cross multiply
    2,860.70x = 4,288.17 × 1,010.66
  4. Step 4: Simplify right side
    2,860.70x = 4,333,881.89
  5. Step 5: Solve for x
    x = 4,333,881.89/2,860.70
  6. Step 6: Final answer
    x = 1,514.97

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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.