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Finding the Fourth Proportional to 3,166.74, 4,370.05 and 1,750.40

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Solution

The fourth proportional to 3,166.74, 4,370.05 and 1,750.40 is: 2,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.74 : 4,370.05 = 1,750.40 : x
  2. Step 2: Convert to fraction form
    3,166.74/4,370.05 = 1,750.40/x
  3. Step 3: Cross multiply
    3,166.74x = 4,370.05 × 1,750.40
  4. Step 4: Simplify right side
    3,166.74x = 7,649,335.52
  5. Step 5: Solve for x
    x = 7,649,335.52/3,166.74
  6. Step 6: Final answer
    x = 2,415.52

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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.