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Finding the Fourth Proportional to 2,653.42, 3,972.72 and 1,726.66

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Solution

The fourth proportional to 2,653.42, 3,972.72 and 1,726.66 is: 2,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.42 : 3,972.72 = 1,726.66 : x
  2. Step 2: Convert to fraction form
    2,653.42/3,972.72 = 1,726.66/x
  3. Step 3: Cross multiply
    2,653.42x = 3,972.72 × 1,726.66
  4. Step 4: Simplify right side
    2,653.42x = 6,859,536.72
  5. Step 5: Solve for x
    x = 6,859,536.72/2,653.42
  6. Step 6: Final answer
    x = 2,585.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.