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Finding the Fourth Proportional to 2,920.77, 4,379.54 and 971.91

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Solution

The fourth proportional to 2,920.77, 4,379.54 and 971.91 is: 1,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.77 : 4,379.54 = 971.91 : x
  2. Step 2: Convert to fraction form
    2,920.77/4,379.54 = 971.91/x
  3. Step 3: Cross multiply
    2,920.77x = 4,379.54 × 971.91
  4. Step 4: Simplify right side
    2,920.77x = 4,256,513.86
  5. Step 5: Solve for x
    x = 4,256,513.86/2,920.77
  6. Step 6: Final answer
    x = 1,457.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.