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Finding the Fourth Proportional to 2,470.84, 3,408.06 and 1,762.60

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Solution

The fourth proportional to 2,470.84, 3,408.06 and 1,762.60 is: 2,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.84 : 3,408.06 = 1,762.60 : x
  2. Step 2: Convert to fraction form
    2,470.84/3,408.06 = 1,762.60/x
  3. Step 3: Cross multiply
    2,470.84x = 3,408.06 × 1,762.60
  4. Step 4: Simplify right side
    2,470.84x = 6,007,046.56
  5. Step 5: Solve for x
    x = 6,007,046.56/2,470.84
  6. Step 6: Final answer
    x = 2,431.18

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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.