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Finding the Fourth Proportional to 1,838.36, 2,536.98 and 999.11

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Solution

The fourth proportional to 1,838.36, 2,536.98 and 999.11 is: 1,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.36 : 2,536.98 = 999.11 : x
  2. Step 2: Convert to fraction form
    1,838.36/2,536.98 = 999.11/x
  3. Step 3: Cross multiply
    1,838.36x = 2,536.98 × 999.11
  4. Step 4: Simplify right side
    1,838.36x = 2,534,722.09
  5. Step 5: Solve for x
    x = 2,534,722.09/1,838.36
  6. Step 6: Final answer
    x = 1,378.80

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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.