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Finding the Fourth Proportional to 3,442.76, 4,750.97 and 1,870.85

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Solution

The fourth proportional to 3,442.76, 4,750.97 and 1,870.85 is: 2,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.76 : 4,750.97 = 1,870.85 : x
  2. Step 2: Convert to fraction form
    3,442.76/4,750.97 = 1,870.85/x
  3. Step 3: Cross multiply
    3,442.76x = 4,750.97 × 1,870.85
  4. Step 4: Simplify right side
    3,442.76x = 8,888,319.12
  5. Step 5: Solve for x
    x = 8,888,319.12/3,442.76
  6. Step 6: Final answer
    x = 2,581.75

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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.