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Finding the Fourth Proportional to 3,580.84, 4,941.99 and 2,254.50

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Solution

The fourth proportional to 3,580.84, 4,941.99 and 2,254.50 is: 3,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.84 : 4,941.99 = 2,254.50 : x
  2. Step 2: Convert to fraction form
    3,580.84/4,941.99 = 2,254.50/x
  3. Step 3: Cross multiply
    3,580.84x = 4,941.99 × 2,254.50
  4. Step 4: Simplify right side
    3,580.84x = 11,141,716.46
  5. Step 5: Solve for x
    x = 11,141,716.46/3,580.84
  6. Step 6: Final answer
    x = 3,111.48

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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.