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Finding the Fourth Proportional to 2,068.52, 3,102.01 and 681.45

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Solution

The fourth proportional to 2,068.52, 3,102.01 and 681.45 is: 1,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.52 : 3,102.01 = 681.45 : x
  2. Step 2: Convert to fraction form
    2,068.52/3,102.01 = 681.45/x
  3. Step 3: Cross multiply
    2,068.52x = 3,102.01 × 681.45
  4. Step 4: Simplify right side
    2,068.52x = 2,113,864.71
  5. Step 5: Solve for x
    x = 2,113,864.71/2,068.52
  6. Step 6: Final answer
    x = 1,021.92

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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.