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Finding the Fourth Proportional to 2,583.34, 3,565.02 and 1,535.38

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Solution

The fourth proportional to 2,583.34, 3,565.02 and 1,535.38 is: 2,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.34 : 3,565.02 = 1,535.38 : x
  2. Step 2: Convert to fraction form
    2,583.34/3,565.02 = 1,535.38/x
  3. Step 3: Cross multiply
    2,583.34x = 3,565.02 × 1,535.38
  4. Step 4: Simplify right side
    2,583.34x = 5,473,660.41
  5. Step 5: Solve for x
    x = 5,473,660.41/2,583.34
  6. Step 6: Final answer
    x = 2,118.83

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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.