Home / 2,295.16-3,442.74-563.78

Finding the Fourth Proportional to 2,295.16, 3,442.74 and 563.78

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Solution

The fourth proportional to 2,295.16, 3,442.74 and 563.78 is: 845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.16 : 3,442.74 = 563.78 : x
  2. Step 2: Convert to fraction form
    2,295.16/3,442.74 = 563.78/x
  3. Step 3: Cross multiply
    2,295.16x = 3,442.74 × 563.78
  4. Step 4: Simplify right side
    2,295.16x = 1,940,954.45
  5. Step 5: Solve for x
    x = 1,940,954.45/2,295.16
  6. Step 6: Final answer
    x = 845.67

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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.