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Finding the Fourth Proportional to 2,478.44, 3,695.50 and 2,410.40

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Solution

The fourth proportional to 2,478.44, 3,695.50 and 2,410.40 is: 3,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.44 : 3,695.50 = 2,410.40 : x
  2. Step 2: Convert to fraction form
    2,478.44/3,695.50 = 2,410.40/x
  3. Step 3: Cross multiply
    2,478.44x = 3,695.50 × 2,410.40
  4. Step 4: Simplify right side
    2,478.44x = 8,907,633.20
  5. Step 5: Solve for x
    x = 8,907,633.20/2,478.44
  6. Step 6: Final answer
    x = 3,594.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.