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Finding the Fourth Proportional to 2,648.63, 3,655.28 and 1,529.78

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Solution

The fourth proportional to 2,648.63, 3,655.28 and 1,529.78 is: 2,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.63 : 3,655.28 = 1,529.78 : x
  2. Step 2: Convert to fraction form
    2,648.63/3,655.28 = 1,529.78/x
  3. Step 3: Cross multiply
    2,648.63x = 3,655.28 × 1,529.78
  4. Step 4: Simplify right side
    2,648.63x = 5,591,748.31
  5. Step 5: Solve for x
    x = 5,591,748.31/2,648.63
  6. Step 6: Final answer
    x = 2,111.19

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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.