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Finding the Fourth Proportional to 2,232.66, 3,082.14 and 1,570.08

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Solution

The fourth proportional to 2,232.66, 3,082.14 and 1,570.08 is: 2,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.66 : 3,082.14 = 1,570.08 : x
  2. Step 2: Convert to fraction form
    2,232.66/3,082.14 = 1,570.08/x
  3. Step 3: Cross multiply
    2,232.66x = 3,082.14 × 1,570.08
  4. Step 4: Simplify right side
    2,232.66x = 4,839,206.37
  5. Step 5: Solve for x
    x = 4,839,206.37/2,232.66
  6. Step 6: Final answer
    x = 2,167.46

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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.