Home / 1,823.10-2,733.92-590.32

Finding the Fourth Proportional to 1,823.10, 2,733.92 and 590.32

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Solution

The fourth proportional to 1,823.10, 2,733.92 and 590.32 is: 885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.10 : 2,733.92 = 590.32 : x
  2. Step 2: Convert to fraction form
    1,823.10/2,733.92 = 590.32/x
  3. Step 3: Cross multiply
    1,823.10x = 2,733.92 × 590.32
  4. Step 4: Simplify right side
    1,823.10x = 1,613,887.65
  5. Step 5: Solve for x
    x = 1,613,887.65/1,823.10
  6. Step 6: Final answer
    x = 885.24

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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.