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Finding the Fourth Proportional to 1,495.61, 2,243.24 and 400.06

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Solution

The fourth proportional to 1,495.61, 2,243.24 and 400.06 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.61 : 2,243.24 = 400.06 : x
  2. Step 2: Convert to fraction form
    1,495.61/2,243.24 = 400.06/x
  3. Step 3: Cross multiply
    1,495.61x = 2,243.24 × 400.06
  4. Step 4: Simplify right side
    1,495.61x = 897,430.59
  5. Step 5: Solve for x
    x = 897,430.59/1,495.61
  6. Step 6: Final answer
    x = 600.04

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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.