Home / 1,531.60-2,296.32-666.16

Finding the Fourth Proportional to 1,531.60, 2,296.32 and 666.16

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Solution

The fourth proportional to 1,531.60, 2,296.32 and 666.16 is: 998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.60 : 2,296.32 = 666.16 : x
  2. Step 2: Convert to fraction form
    1,531.60/2,296.32 = 666.16/x
  3. Step 3: Cross multiply
    1,531.60x = 2,296.32 × 666.16
  4. Step 4: Simplify right side
    1,531.60x = 1,529,716.53
  5. Step 5: Solve for x
    x = 1,529,716.53/1,531.60
  6. Step 6: Final answer
    x = 998.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.