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Finding the Fourth Proportional to 1,838.50, 2,537.14 and 999.20

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Solution

The fourth proportional to 1,838.50, 2,537.14 and 999.20 is: 1,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.50 : 2,537.14 = 999.20 : x
  2. Step 2: Convert to fraction form
    1,838.50/2,537.14 = 999.20/x
  3. Step 3: Cross multiply
    1,838.50x = 2,537.14 × 999.20
  4. Step 4: Simplify right side
    1,838.50x = 2,535,110.29
  5. Step 5: Solve for x
    x = 2,535,110.29/1,838.50
  6. Step 6: Final answer
    x = 1,378.90

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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.