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Finding the Fourth Proportional to 2,295.53, 3,443.30 and 564.16

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Solution

The fourth proportional to 2,295.53, 3,443.30 and 564.16 is: 846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.53 : 3,443.30 = 564.16 : x
  2. Step 2: Convert to fraction form
    2,295.53/3,443.30 = 564.16/x
  3. Step 3: Cross multiply
    2,295.53x = 3,443.30 × 564.16
  4. Step 4: Simplify right side
    2,295.53x = 1,942,572.13
  5. Step 5: Solve for x
    x = 1,942,572.13/2,295.53
  6. Step 6: Final answer
    x = 846.24

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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.