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Finding the Fourth Proportional to 2,678.34, 4,017.51 and 1,378.92

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Solution

The fourth proportional to 2,678.34, 4,017.51 and 1,378.92 is: 2,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.34 : 4,017.51 = 1,378.92 : x
  2. Step 2: Convert to fraction form
    2,678.34/4,017.51 = 1,378.92/x
  3. Step 3: Cross multiply
    2,678.34x = 4,017.51 × 1,378.92
  4. Step 4: Simplify right side
    2,678.34x = 5,539,824.89
  5. Step 5: Solve for x
    x = 5,539,824.89/2,678.34
  6. Step 6: Final answer
    x = 2,068.38

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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.