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Finding the Fourth Proportional to 2,464.95, 3,401.93 and 1,402.89

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Solution

The fourth proportional to 2,464.95, 3,401.93 and 1,402.89 is: 1,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.95 : 3,401.93 = 1,402.89 : x
  2. Step 2: Convert to fraction form
    2,464.95/3,401.93 = 1,402.89/x
  3. Step 3: Cross multiply
    2,464.95x = 3,401.93 × 1,402.89
  4. Step 4: Simplify right side
    2,464.95x = 4,772,526.56
  5. Step 5: Solve for x
    x = 4,772,526.56/2,464.95
  6. Step 6: Final answer
    x = 1,936.16

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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.