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Finding the Fourth Proportional to 2,140.79, 2,954.05 and 1,322.08

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Solution

The fourth proportional to 2,140.79, 2,954.05 and 1,322.08 is: 1,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.79 : 2,954.05 = 1,322.08 : x
  2. Step 2: Convert to fraction form
    2,140.79/2,954.05 = 1,322.08/x
  3. Step 3: Cross multiply
    2,140.79x = 2,954.05 × 1,322.08
  4. Step 4: Simplify right side
    2,140.79x = 3,905,479.73
  5. Step 5: Solve for x
    x = 3,905,479.73/2,140.79
  6. Step 6: Final answer
    x = 1,824.32

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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.