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Finding the Fourth Proportional to 1,349.24, 2,023.83 and 375.35

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Solution

The fourth proportional to 1,349.24, 2,023.83 and 375.35 is: 563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.24 : 2,023.83 = 375.35 : x
  2. Step 2: Convert to fraction form
    1,349.24/2,023.83 = 375.35/x
  3. Step 3: Cross multiply
    1,349.24x = 2,023.83 × 375.35
  4. Step 4: Simplify right side
    1,349.24x = 759,634.47
  5. Step 5: Solve for x
    x = 759,634.47/1,349.24
  6. Step 6: Final answer
    x = 563.01

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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.