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Finding the Fourth Proportional to 1,838.14, 2,751.03 and 1,686.40

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Solution

The fourth proportional to 1,838.14, 2,751.03 and 1,686.40 is: 2,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.14 : 2,751.03 = 1,686.40 : x
  2. Step 2: Convert to fraction form
    1,838.14/2,751.03 = 1,686.40/x
  3. Step 3: Cross multiply
    1,838.14x = 2,751.03 × 1,686.40
  4. Step 4: Simplify right side
    1,838.14x = 4,639,330.11
  5. Step 5: Solve for x
    x = 4,639,330.11/1,838.14
  6. Step 6: Final answer
    x = 2,523.93

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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.