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Finding the Fourth Proportional to 2,430.91, 3,646.77 and 971.11

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Solution

The fourth proportional to 2,430.91, 3,646.77 and 971.11 is: 1,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.91 : 3,646.77 = 971.11 : x
  2. Step 2: Convert to fraction form
    2,430.91/3,646.77 = 971.11/x
  3. Step 3: Cross multiply
    2,430.91x = 3,646.77 × 971.11
  4. Step 4: Simplify right side
    2,430.91x = 3,541,414.81
  5. Step 5: Solve for x
    x = 3,541,414.81/2,430.91
  6. Step 6: Final answer
    x = 1,456.83

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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.