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Finding the Fourth Proportional to 2,534.82, 3,492.78 and 2,369.22

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Solution

The fourth proportional to 2,534.82, 3,492.78 and 2,369.22 is: 3,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.82 : 3,492.78 = 2,369.22 : x
  2. Step 2: Convert to fraction form
    2,534.82/3,492.78 = 2,369.22/x
  3. Step 3: Cross multiply
    2,534.82x = 3,492.78 × 2,369.22
  4. Step 4: Simplify right side
    2,534.82x = 8,275,164.23
  5. Step 5: Solve for x
    x = 8,275,164.23/2,534.82
  6. Step 6: Final answer
    x = 3,264.60

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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.