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Finding the Fourth Proportional to 2,068.91, 3,103.80 and 607.94

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Solution

The fourth proportional to 2,068.91, 3,103.80 and 607.94 is: 912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.91 : 3,103.80 = 607.94 : x
  2. Step 2: Convert to fraction form
    2,068.91/3,103.80 = 607.94/x
  3. Step 3: Cross multiply
    2,068.91x = 3,103.80 × 607.94
  4. Step 4: Simplify right side
    2,068.91x = 1,886,924.17
  5. Step 5: Solve for x
    x = 1,886,924.17/2,068.91
  6. Step 6: Final answer
    x = 912.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.