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Finding the Fourth Proportional to 2,295.32, 3,442.95 and 563.96

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Solution

The fourth proportional to 2,295.32, 3,442.95 and 563.96 is: 845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.32 : 3,442.95 = 563.96 : x
  2. Step 2: Convert to fraction form
    2,295.32/3,442.95 = 563.96/x
  3. Step 3: Cross multiply
    2,295.32x = 3,442.95 × 563.96
  4. Step 4: Simplify right side
    2,295.32x = 1,941,686.08
  5. Step 5: Solve for x
    x = 1,941,686.08/2,295.32
  6. Step 6: Final answer
    x = 845.93

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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.