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Finding the Fourth Proportional to 3,442.09, 4,750.10 and 1,870.19

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Solution

The fourth proportional to 3,442.09, 4,750.10 and 1,870.19 is: 2,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.09 : 4,750.10 = 1,870.19 : x
  2. Step 2: Convert to fraction form
    3,442.09/4,750.10 = 1,870.19/x
  3. Step 3: Cross multiply
    3,442.09x = 4,750.10 × 1,870.19
  4. Step 4: Simplify right side
    3,442.09x = 8,883,589.52
  5. Step 5: Solve for x
    x = 8,883,589.52/3,442.09
  6. Step 6: Final answer
    x = 2,580.87

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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.