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Finding the Fourth Proportional to 4,141.94, 6,215.07 and 1,678.58

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Solution

The fourth proportional to 4,141.94, 6,215.07 and 1,678.58 is: 2,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.94 : 6,215.07 = 1,678.58 : x
  2. Step 2: Convert to fraction form
    4,141.94/6,215.07 = 1,678.58/x
  3. Step 3: Cross multiply
    4,141.94x = 6,215.07 × 1,678.58
  4. Step 4: Simplify right side
    4,141.94x = 10,432,492.20
  5. Step 5: Solve for x
    x = 10,432,492.20/4,141.94
  6. Step 6: Final answer
    x = 2,518.75

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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.