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Finding the Fourth Proportional to 3,442.85, 4,751.10 and 1,870.95

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Solution

The fourth proportional to 3,442.85, 4,751.10 and 1,870.95 is: 2,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.85 : 4,751.10 = 1,870.95 : x
  2. Step 2: Convert to fraction form
    3,442.85/4,751.10 = 1,870.95/x
  3. Step 3: Cross multiply
    3,442.85x = 4,751.10 × 1,870.95
  4. Step 4: Simplify right side
    3,442.85x = 8,889,070.55
  5. Step 5: Solve for x
    x = 8,889,070.55/3,442.85
  6. Step 6: Final answer
    x = 2,581.90

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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.