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Finding the Fourth Proportional to 2,688.96, 3,712.26 and 2,058.28

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Solution

The fourth proportional to 2,688.96, 3,712.26 and 2,058.28 is: 2,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.96 : 3,712.26 = 2,058.28 : x
  2. Step 2: Convert to fraction form
    2,688.96/3,712.26 = 2,058.28/x
  3. Step 3: Cross multiply
    2,688.96x = 3,712.26 × 2,058.28
  4. Step 4: Simplify right side
    2,688.96x = 7,640,870.51
  5. Step 5: Solve for x
    x = 7,640,870.51/2,688.96
  6. Step 6: Final answer
    x = 2,841.57

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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.