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Finding the Fourth Proportional to 2,464.48, 3,402.15 and 1,402.41

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Solution

The fourth proportional to 2,464.48, 3,402.15 and 1,402.41 is: 1,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.48 : 3,402.15 = 1,402.41 : x
  2. Step 2: Convert to fraction form
    2,464.48/3,402.15 = 1,402.41/x
  3. Step 3: Cross multiply
    2,464.48x = 3,402.15 × 1,402.41
  4. Step 4: Simplify right side
    2,464.48x = 4,771,224.57
  5. Step 5: Solve for x
    x = 4,771,224.57/2,464.48
  6. Step 6: Final answer
    x = 1,936.00

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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.