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Finding the Fourth Proportional to 1,531.95, 2,297.86 and 666.26

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Solution

The fourth proportional to 1,531.95, 2,297.86 and 666.26 is: 999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.95 : 2,297.86 = 666.26 : x
  2. Step 2: Convert to fraction form
    1,531.95/2,297.86 = 666.26/x
  3. Step 3: Cross multiply
    1,531.95x = 2,297.86 × 666.26
  4. Step 4: Simplify right side
    1,531.95x = 1,530,960.71
  5. Step 5: Solve for x
    x = 1,530,960.71/1,531.95
  6. Step 6: Final answer
    x = 999.36

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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.