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Finding the Fourth Proportional to 2,430.91, 3,646.41 and 969.22

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Solution

The fourth proportional to 2,430.91, 3,646.41 and 969.22 is: 1,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.91 : 3,646.41 = 969.22 : x
  2. Step 2: Convert to fraction form
    2,430.91/3,646.41 = 969.22/x
  3. Step 3: Cross multiply
    2,430.91x = 3,646.41 × 969.22
  4. Step 4: Simplify right side
    2,430.91x = 3,534,173.50
  5. Step 5: Solve for x
    x = 3,534,173.50/2,430.91
  6. Step 6: Final answer
    x = 1,453.85

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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.