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Finding the Fourth Proportional to 2,637.64, 3,946.87 and 2,334.19

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Solution

The fourth proportional to 2,637.64, 3,946.87 and 2,334.19 is: 3,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.64 : 3,946.87 = 2,334.19 : x
  2. Step 2: Convert to fraction form
    2,637.64/3,946.87 = 2,334.19/x
  3. Step 3: Cross multiply
    2,637.64x = 3,946.87 × 2,334.19
  4. Step 4: Simplify right side
    2,637.64x = 9,212,744.49
  5. Step 5: Solve for x
    x = 9,212,744.49/2,637.64
  6. Step 6: Final answer
    x = 3,492.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.