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Finding the Fourth Proportional to 2,648.40, 3,655.32 and 2,205.84

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Solution

The fourth proportional to 2,648.40, 3,655.32 and 2,205.84 is: 3,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.40 : 3,655.32 = 2,205.84 : x
  2. Step 2: Convert to fraction form
    2,648.40/3,655.32 = 2,205.84/x
  3. Step 3: Cross multiply
    2,648.40x = 3,655.32 × 2,205.84
  4. Step 4: Simplify right side
    2,648.40x = 8,063,051.07
  5. Step 5: Solve for x
    x = 8,063,051.07/2,648.40
  6. Step 6: Final answer
    x = 3,044.50

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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.