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Finding the Fourth Proportional to 2,123.75, 3,182.07 and 1,504.46

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Solution

The fourth proportional to 2,123.75, 3,182.07 and 1,504.46 is: 2,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.75 : 3,182.07 = 1,504.46 : x
  2. Step 2: Convert to fraction form
    2,123.75/3,182.07 = 1,504.46/x
  3. Step 3: Cross multiply
    2,123.75x = 3,182.07 × 1,504.46
  4. Step 4: Simplify right side
    2,123.75x = 4,787,297.03
  5. Step 5: Solve for x
    x = 4,787,297.03/2,123.75
  6. Step 6: Final answer
    x = 2,254.17

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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.