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Finding the Fourth Proportional to 2,396.59, 3,595.50 and 1,010.68

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Solution

The fourth proportional to 2,396.59, 3,595.50 and 1,010.68 is: 1,516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.59 : 3,595.50 = 1,010.68 : x
  2. Step 2: Convert to fraction form
    2,396.59/3,595.50 = 1,010.68/x
  3. Step 3: Cross multiply
    2,396.59x = 3,595.50 × 1,010.68
  4. Step 4: Simplify right side
    2,396.59x = 3,633,899.94
  5. Step 5: Solve for x
    x = 3,633,899.94/2,396.59
  6. Step 6: Final answer
    x = 1,516.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.