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Finding the Fourth Proportional to 2,068.63, 3,102.33 and 607.43

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Solution

The fourth proportional to 2,068.63, 3,102.33 and 607.43 is: 910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.63 : 3,102.33 = 607.43 : x
  2. Step 2: Convert to fraction form
    2,068.63/3,102.33 = 607.43/x
  3. Step 3: Cross multiply
    2,068.63x = 3,102.33 × 607.43
  4. Step 4: Simplify right side
    2,068.63x = 1,884,448.31
  5. Step 5: Solve for x
    x = 1,884,448.31/2,068.63
  6. Step 6: Final answer
    x = 910.96

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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.