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Finding the Fourth Proportional to 1,531.09, 2,296.06 and 606.85

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Solution

The fourth proportional to 1,531.09, 2,296.06 and 606.85 is: 910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.09 : 2,296.06 = 606.85 : x
  2. Step 2: Convert to fraction form
    1,531.09/2,296.06 = 606.85/x
  3. Step 3: Cross multiply
    1,531.09x = 2,296.06 × 606.85
  4. Step 4: Simplify right side
    1,531.09x = 1,393,364.01
  5. Step 5: Solve for x
    x = 1,393,364.01/1,531.09
  6. Step 6: Final answer
    x = 910.05

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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.