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Finding the Fourth Proportional to 3,059.53, 4,223.90 and 2,014.63

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Solution

The fourth proportional to 3,059.53, 4,223.90 and 2,014.63 is: 2,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.53 : 4,223.90 = 2,014.63 : x
  2. Step 2: Convert to fraction form
    3,059.53/4,223.90 = 2,014.63/x
  3. Step 3: Cross multiply
    3,059.53x = 4,223.90 × 2,014.63
  4. Step 4: Simplify right side
    3,059.53x = 8,509,569.74
  5. Step 5: Solve for x
    x = 8,509,569.74/3,059.53
  6. Step 6: Final answer
    x = 2,781.34

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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.