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Finding the Fourth Proportional to 1,531.76, 2,297.37 and 492.02

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Solution

The fourth proportional to 1,531.76, 2,297.37 and 492.02 is: 737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.76 : 2,297.37 = 492.02 : x
  2. Step 2: Convert to fraction form
    1,531.76/2,297.37 = 492.02/x
  3. Step 3: Cross multiply
    1,531.76x = 2,297.37 × 492.02
  4. Step 4: Simplify right side
    1,531.76x = 1,130,351.99
  5. Step 5: Solve for x
    x = 1,130,351.99/1,531.76
  6. Step 6: Final answer
    x = 737.94

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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.