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Finding the Fourth Proportional to 2,648.90, 3,656.14 and 1,529.96

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Solution

The fourth proportional to 2,648.90, 3,656.14 and 1,529.96 is: 2,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.90 : 3,656.14 = 1,529.96 : x
  2. Step 2: Convert to fraction form
    2,648.90/3,656.14 = 1,529.96/x
  3. Step 3: Cross multiply
    2,648.90x = 3,656.14 × 1,529.96
  4. Step 4: Simplify right side
    2,648.90x = 5,593,725.85
  5. Step 5: Solve for x
    x = 5,593,725.85/2,648.90
  6. Step 6: Final answer
    x = 2,111.71

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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.