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Finding the Fourth Proportional to 1,665.35, 2,500.86 and 1,595.69

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Solution

The fourth proportional to 1,665.35, 2,500.86 and 1,595.69 is: 2,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.35 : 2,500.86 = 1,595.69 : x
  2. Step 2: Convert to fraction form
    1,665.35/2,500.86 = 1,595.69/x
  3. Step 3: Cross multiply
    1,665.35x = 2,500.86 × 1,595.69
  4. Step 4: Simplify right side
    1,665.35x = 3,990,597.29
  5. Step 5: Solve for x
    x = 3,990,597.29/1,665.35
  6. Step 6: Final answer
    x = 2,396.25

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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.