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Finding the Fourth Proportional to 2,945.77, 4,419.19 and 971.51

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Solution

The fourth proportional to 2,945.77, 4,419.19 and 971.51 is: 1,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.77 : 4,419.19 = 971.51 : x
  2. Step 2: Convert to fraction form
    2,945.77/4,419.19 = 971.51/x
  3. Step 3: Cross multiply
    2,945.77x = 4,419.19 × 971.51
  4. Step 4: Simplify right side
    2,945.77x = 4,293,287.28
  5. Step 5: Solve for x
    x = 4,293,287.28/2,945.77
  6. Step 6: Final answer
    x = 1,457.44

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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.