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Finding the Fourth Proportional to 2,104.32, 3,156.48 and 565.32

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Solution

The fourth proportional to 2,104.32, 3,156.48 and 565.32 is: 847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.32 : 3,156.48 = 565.32 : x
  2. Step 2: Convert to fraction form
    2,104.32/3,156.48 = 565.32/x
  3. Step 3: Cross multiply
    2,104.32x = 3,156.48 × 565.32
  4. Step 4: Simplify right side
    2,104.32x = 1,784,421.27
  5. Step 5: Solve for x
    x = 1,784,421.27/2,104.32
  6. Step 6: Final answer
    x = 847.98

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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.