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Finding the Fourth Proportional to 1,838.25, 2,536.17 and 1,041.50

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Solution

The fourth proportional to 1,838.25, 2,536.17 and 1,041.50 is: 1,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.25 : 2,536.17 = 1,041.50 : x
  2. Step 2: Convert to fraction form
    1,838.25/2,536.17 = 1,041.50/x
  3. Step 3: Cross multiply
    1,838.25x = 2,536.17 × 1,041.50
  4. Step 4: Simplify right side
    1,838.25x = 2,641,421.06
  5. Step 5: Solve for x
    x = 2,641,421.06/1,838.25
  6. Step 6: Final answer
    x = 1,436.92

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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.