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Finding the Fourth Proportional to 2,000.30, 2,999.53 and 1,296.35

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Solution

The fourth proportional to 2,000.30, 2,999.53 and 1,296.35 is: 1,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.30 : 2,999.53 = 1,296.35 : x
  2. Step 2: Convert to fraction form
    2,000.30/2,999.53 = 1,296.35/x
  3. Step 3: Cross multiply
    2,000.30x = 2,999.53 × 1,296.35
  4. Step 4: Simplify right side
    2,000.30x = 3,888,455.46
  5. Step 5: Solve for x
    x = 3,888,455.46/2,000.30
  6. Step 6: Final answer
    x = 1,943.94

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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.