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Finding the Fourth Proportional to 2,598.46, 3,584.01 and 2,512.78

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Solution

The fourth proportional to 2,598.46, 3,584.01 and 2,512.78 is: 3,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.46 : 3,584.01 = 2,512.78 : x
  2. Step 2: Convert to fraction form
    2,598.46/3,584.01 = 2,512.78/x
  3. Step 3: Cross multiply
    2,598.46x = 3,584.01 × 2,512.78
  4. Step 4: Simplify right side
    2,598.46x = 9,005,828.65
  5. Step 5: Solve for x
    x = 9,005,828.65/2,598.46
  6. Step 6: Final answer
    x = 3,465.83

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