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Finding the Fourth Proportional to 2,458.02, 3,392.20 and 1,410.42

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Solution

The fourth proportional to 2,458.02, 3,392.20 and 1,410.42 is: 1,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.02 : 3,392.20 = 1,410.42 : x
  2. Step 2: Convert to fraction form
    2,458.02/3,392.20 = 1,410.42/x
  3. Step 3: Cross multiply
    2,458.02x = 3,392.20 × 1,410.42
  4. Step 4: Simplify right side
    2,458.02x = 4,784,426.72
  5. Step 5: Solve for x
    x = 4,784,426.72/2,458.02
  6. Step 6: Final answer
    x = 1,946.46

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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.