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Finding the Fourth Proportional to 2,000.61, 3,001.53 and 684.40

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Solution

The fourth proportional to 2,000.61, 3,001.53 and 684.40 is: 1,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.61 : 3,001.53 = 684.40 : x
  2. Step 2: Convert to fraction form
    2,000.61/3,001.53 = 684.40/x
  3. Step 3: Cross multiply
    2,000.61x = 3,001.53 × 684.40
  4. Step 4: Simplify right side
    2,000.61x = 2,054,232.12
  5. Step 5: Solve for x
    x = 2,054,232.12/2,000.61
  6. Step 6: Final answer
    x = 1,026.81

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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.