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Finding the Fourth Proportional to 3,345.71, 4,618.02 and 2,019.50

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Solution

The fourth proportional to 3,345.71, 4,618.02 and 2,019.50 is: 2,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.71 : 4,618.02 = 2,019.50 : x
  2. Step 2: Convert to fraction form
    3,345.71/4,618.02 = 2,019.50/x
  3. Step 3: Cross multiply
    3,345.71x = 4,618.02 × 2,019.50
  4. Step 4: Simplify right side
    3,345.71x = 9,326,093.19
  5. Step 5: Solve for x
    x = 9,326,093.19/3,345.71
  6. Step 6: Final answer
    x = 2,787.48

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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.