Home / 1,531.92-2,297.52-492.08

Finding the Fourth Proportional to 1,531.92, 2,297.52 and 492.08

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Solution

The fourth proportional to 1,531.92, 2,297.52 and 492.08 is: 738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.92 : 2,297.52 = 492.08 : x
  2. Step 2: Convert to fraction form
    1,531.92/2,297.52 = 492.08/x
  3. Step 3: Cross multiply
    1,531.92x = 2,297.52 × 492.08
  4. Step 4: Simplify right side
    1,531.92x = 1,130,563.64
  5. Step 5: Solve for x
    x = 1,130,563.64/1,531.92
  6. Step 6: Final answer
    x = 738.00

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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.