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Finding the Fourth Proportional to 2,684.84, 4,023.48 and 2,537

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Solution

The fourth proportional to 2,684.84, 4,023.48 and 2,537 is: 3,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.84 : 4,023.48 = 2,537 : x
  2. Step 2: Convert to fraction form
    2,684.84/4,023.48 = 2,537/x
  3. Step 3: Cross multiply
    2,684.84x = 4,023.48 × 2,537
  4. Step 4: Simplify right side
    2,684.84x = 10,207,568.76
  5. Step 5: Solve for x
    x = 10,207,568.76/2,684.84
  6. Step 6: Final answer
    x = 3,801.93

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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.