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Finding the Fourth Proportional to 1,531.94, 2,297.97 and 491.99

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Solution

The fourth proportional to 1,531.94, 2,297.97 and 491.99 is: 738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.94 : 2,297.97 = 491.99 : x
  2. Step 2: Convert to fraction form
    1,531.94/2,297.97 = 491.99/x
  3. Step 3: Cross multiply
    1,531.94x = 2,297.97 × 491.99
  4. Step 4: Simplify right side
    1,531.94x = 1,130,566.77
  5. Step 5: Solve for x
    x = 1,130,566.77/1,531.94
  6. Step 6: Final answer
    x = 738.00

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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.