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Finding the Fourth Proportional to 2,712.59, 4,071.19 and 1,934.49

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Solution

The fourth proportional to 2,712.59, 4,071.19 and 1,934.49 is: 2,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.59 : 4,071.19 = 1,934.49 : x
  2. Step 2: Convert to fraction form
    2,712.59/4,071.19 = 1,934.49/x
  3. Step 3: Cross multiply
    2,712.59x = 4,071.19 × 1,934.49
  4. Step 4: Simplify right side
    2,712.59x = 7,875,676.34
  5. Step 5: Solve for x
    x = 7,875,676.34/2,712.59
  6. Step 6: Final answer
    x = 2,903.38

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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.