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Finding the Fourth Proportional to 1,498.08, 2,247.23 and 402.36

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Solution

The fourth proportional to 1,498.08, 2,247.23 and 402.36 is: 603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.08 : 2,247.23 = 402.36 : x
  2. Step 2: Convert to fraction form
    1,498.08/2,247.23 = 402.36/x
  3. Step 3: Cross multiply
    1,498.08x = 2,247.23 × 402.36
  4. Step 4: Simplify right side
    1,498.08x = 904,195.46
  5. Step 5: Solve for x
    x = 904,195.46/1,498.08
  6. Step 6: Final answer
    x = 603.57

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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.