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Finding the Fourth Proportional to 2,158.68, 2,966.07 and 1,715.81

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Solution

The fourth proportional to 2,158.68, 2,966.07 and 1,715.81 is: 2,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.68 : 2,966.07 = 1,715.81 : x
  2. Step 2: Convert to fraction form
    2,158.68/2,966.07 = 1,715.81/x
  3. Step 3: Cross multiply
    2,158.68x = 2,966.07 × 1,715.81
  4. Step 4: Simplify right side
    2,158.68x = 5,089,212.57
  5. Step 5: Solve for x
    x = 5,089,212.57/2,158.68
  6. Step 6: Final answer
    x = 2,357.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.