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Finding the Fourth Proportional to 2,965.57, 4,090.65 and 2,377.51

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Solution

The fourth proportional to 2,965.57, 4,090.65 and 2,377.51 is: 3,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.57 : 4,090.65 = 2,377.51 : x
  2. Step 2: Convert to fraction form
    2,965.57/4,090.65 = 2,377.51/x
  3. Step 3: Cross multiply
    2,965.57x = 4,090.65 × 2,377.51
  4. Step 4: Simplify right side
    2,965.57x = 9,725,561.28
  5. Step 5: Solve for x
    x = 9,725,561.28/2,965.57
  6. Step 6: Final answer
    x = 3,279.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.