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Finding the Fourth Proportional to 2,510.40, 3,464.16 and 2,458.56

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Solution

The fourth proportional to 2,510.40, 3,464.16 and 2,458.56 is: 3,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.40 : 3,464.16 = 2,458.56 : x
  2. Step 2: Convert to fraction form
    2,510.40/3,464.16 = 2,458.56/x
  3. Step 3: Cross multiply
    2,510.40x = 3,464.16 × 2,458.56
  4. Step 4: Simplify right side
    2,510.40x = 8,516,845.21
  5. Step 5: Solve for x
    x = 8,516,845.21/2,510.40
  6. Step 6: Final answer
    x = 3,392.62

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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.