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Finding the Fourth Proportional to 3,000.02, 4,496.19 and 1,266.26

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Solution

The fourth proportional to 3,000.02, 4,496.19 and 1,266.26 is: 1,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.02 : 4,496.19 = 1,266.26 : x
  2. Step 2: Convert to fraction form
    3,000.02/4,496.19 = 1,266.26/x
  3. Step 3: Cross multiply
    3,000.02x = 4,496.19 × 1,266.26
  4. Step 4: Simplify right side
    3,000.02x = 5,693,345.55
  5. Step 5: Solve for x
    x = 5,693,345.55/3,000.02
  6. Step 6: Final answer
    x = 1,897.77

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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.