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Finding the Fourth Proportional to 2,536.64, 3,802.23 and 1,658.81

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Solution

The fourth proportional to 2,536.64, 3,802.23 and 1,658.81 is: 2,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.64 : 3,802.23 = 1,658.81 : x
  2. Step 2: Convert to fraction form
    2,536.64/3,802.23 = 1,658.81/x
  3. Step 3: Cross multiply
    2,536.64x = 3,802.23 × 1,658.81
  4. Step 4: Simplify right side
    2,536.64x = 6,307,177.15
  5. Step 5: Solve for x
    x = 6,307,177.15/2,536.64
  6. Step 6: Final answer
    x = 2,486.43

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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.