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Finding the Fourth Proportional to 2,653.90, 3,662.13 and 1,534.69

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Solution

The fourth proportional to 2,653.90, 3,662.13 and 1,534.69 is: 2,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.90 : 3,662.13 = 1,534.69 : x
  2. Step 2: Convert to fraction form
    2,653.90/3,662.13 = 1,534.69/x
  3. Step 3: Cross multiply
    2,653.90x = 3,662.13 × 1,534.69
  4. Step 4: Simplify right side
    2,653.90x = 5,620,234.29
  5. Step 5: Solve for x
    x = 5,620,234.29/2,653.90
  6. Step 6: Final answer
    x = 2,117.73

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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.