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Finding the Fourth Proportional to 1,531.79, 2,297.81 and 491.93

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Solution

The fourth proportional to 1,531.79, 2,297.81 and 491.93 is: 737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.79 : 2,297.81 = 491.93 : x
  2. Step 2: Convert to fraction form
    1,531.79/2,297.81 = 491.93/x
  3. Step 3: Cross multiply
    1,531.79x = 2,297.81 × 491.93
  4. Step 4: Simplify right side
    1,531.79x = 1,130,361.67
  5. Step 5: Solve for x
    x = 1,130,361.67/1,531.79
  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.