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Finding the Fourth Proportional to 2,888.68, 4,322.94 and 2,362.60

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Solution

The fourth proportional to 2,888.68, 4,322.94 and 2,362.60 is: 3,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.68 : 4,322.94 = 2,362.60 : x
  2. Step 2: Convert to fraction form
    2,888.68/4,322.94 = 2,362.60/x
  3. Step 3: Cross multiply
    2,888.68x = 4,322.94 × 2,362.60
  4. Step 4: Simplify right side
    2,888.68x = 10,213,378.04
  5. Step 5: Solve for x
    x = 10,213,378.04/2,888.68
  6. Step 6: Final answer
    x = 3,535.66

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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.