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Finding the Fourth Proportional to 2,068.32, 3,102.33 and 681.45

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Solution

The fourth proportional to 2,068.32, 3,102.33 and 681.45 is: 1,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.32 : 3,102.33 = 681.45 : x
  2. Step 2: Convert to fraction form
    2,068.32/3,102.33 = 681.45/x
  3. Step 3: Cross multiply
    2,068.32x = 3,102.33 × 681.45
  4. Step 4: Simplify right side
    2,068.32x = 2,114,082.78
  5. Step 5: Solve for x
    x = 2,114,082.78/2,068.32
  6. Step 6: Final answer
    x = 1,022.13

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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.