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Finding the Fourth Proportional to 1,336.02, 1,844.01 and 869.46

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Solution

The fourth proportional to 1,336.02, 1,844.01 and 869.46 is: 1,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.02 : 1,844.01 = 869.46 : x
  2. Step 2: Convert to fraction form
    1,336.02/1,844.01 = 869.46/x
  3. Step 3: Cross multiply
    1,336.02x = 1,844.01 × 869.46
  4. Step 4: Simplify right side
    1,336.02x = 1,603,292.93
  5. Step 5: Solve for x
    x = 1,603,292.93/1,336.02
  6. Step 6: Final answer
    x = 1,200.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.