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Finding the Fourth Proportional to 2,000.05, 2,999.73 and 904.16

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Solution

The fourth proportional to 2,000.05, 2,999.73 and 904.16 is: 1,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.05 : 2,999.73 = 904.16 : x
  2. Step 2: Convert to fraction form
    2,000.05/2,999.73 = 904.16/x
  3. Step 3: Cross multiply
    2,000.05x = 2,999.73 × 904.16
  4. Step 4: Simplify right side
    2,000.05x = 2,712,246.77
  5. Step 5: Solve for x
    x = 2,712,246.77/2,000.05
  6. Step 6: Final answer
    x = 1,356.09

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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.