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Finding the Fourth Proportional to 2,594.50, 3,907.14 and 2,337.53

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Solution

The fourth proportional to 2,594.50, 3,907.14 and 2,337.53 is: 3,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.50 : 3,907.14 = 2,337.53 : x
  2. Step 2: Convert to fraction form
    2,594.50/3,907.14 = 2,337.53/x
  3. Step 3: Cross multiply
    2,594.50x = 3,907.14 × 2,337.53
  4. Step 4: Simplify right side
    2,594.50x = 9,133,028.66
  5. Step 5: Solve for x
    x = 9,133,028.66/2,594.50
  6. Step 6: Final answer
    x = 3,520.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.