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Finding the Fourth Proportional to 3,122.54, 4,307.22 and 2,059.93

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Solution

The fourth proportional to 3,122.54, 4,307.22 and 2,059.93 is: 2,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.54 : 4,307.22 = 2,059.93 : x
  2. Step 2: Convert to fraction form
    3,122.54/4,307.22 = 2,059.93/x
  3. Step 3: Cross multiply
    3,122.54x = 4,307.22 × 2,059.93
  4. Step 4: Simplify right side
    3,122.54x = 8,872,572.86
  5. Step 5: Solve for x
    x = 8,872,572.86/3,122.54
  6. Step 6: Final answer
    x = 2,841.46

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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.