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Finding the Fourth Proportional to 3,120.76, 4,307.25 and 2,056.66

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Solution

The fourth proportional to 3,120.76, 4,307.25 and 2,056.66 is: 2,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.76 : 4,307.25 = 2,056.66 : x
  2. Step 2: Convert to fraction form
    3,120.76/4,307.25 = 2,056.66/x
  3. Step 3: Cross multiply
    3,120.76x = 4,307.25 × 2,056.66
  4. Step 4: Simplify right side
    3,120.76x = 8,858,548.79
  5. Step 5: Solve for x
    x = 8,858,548.79/3,120.76
  6. Step 6: Final answer
    x = 2,838.59

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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.