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Finding the Fourth Proportional to 2,396.58, 3,595.95 and 1,575.24

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Solution

The fourth proportional to 2,396.58, 3,595.95 and 1,575.24 is: 2,363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.58 : 3,595.95 = 1,575.24 : x
  2. Step 2: Convert to fraction form
    2,396.58/3,595.95 = 1,575.24/x
  3. Step 3: Cross multiply
    2,396.58x = 3,595.95 × 1,575.24
  4. Step 4: Simplify right side
    2,396.58x = 5,664,484.28
  5. Step 5: Solve for x
    x = 5,664,484.28/2,396.58
  6. Step 6: Final answer
    x = 2,363.57

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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.