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Finding the Fourth Proportional to 2,583, 3,565.15 and 1,535.67

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Solution

The fourth proportional to 2,583, 3,565.15 and 1,535.67 is: 2,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,565.15 = 1,535.67 : x
  2. Step 2: Convert to fraction form
    2,583/3,565.15 = 1,535.67/x
  3. Step 3: Cross multiply
    2,583x = 3,565.15 × 1,535.67
  4. Step 4: Simplify right side
    2,583x = 5,474,890.06
  5. Step 5: Solve for x
    x = 5,474,890.06/2,583
  6. Step 6: Final answer
    x = 2,119.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.