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Finding the Fourth Proportional to 2,478.83, 3,420.41 and 1,594.71

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Solution

The fourth proportional to 2,478.83, 3,420.41 and 1,594.71 is: 2,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.83 : 3,420.41 = 1,594.71 : x
  2. Step 2: Convert to fraction form
    2,478.83/3,420.41 = 1,594.71/x
  3. Step 3: Cross multiply
    2,478.83x = 3,420.41 × 1,594.71
  4. Step 4: Simplify right side
    2,478.83x = 5,454,554.06
  5. Step 5: Solve for x
    x = 5,454,554.06/2,478.83
  6. Step 6: Final answer
    x = 2,200.46

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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.