Home / 1,823.78-2,735.93-590.78

Finding the Fourth Proportional to 1,823.78, 2,735.93 and 590.78

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Solution

The fourth proportional to 1,823.78, 2,735.93 and 590.78 is: 886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.78 : 2,735.93 = 590.78 : x
  2. Step 2: Convert to fraction form
    1,823.78/2,735.93 = 590.78/x
  3. Step 3: Cross multiply
    1,823.78x = 2,735.93 × 590.78
  4. Step 4: Simplify right side
    1,823.78x = 1,616,332.73
  5. Step 5: Solve for x
    x = 1,616,332.73/1,823.78
  6. Step 6: Final answer
    x = 886.25

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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.