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Finding the Fourth Proportional to 1,793.08, 2,689.57 and 561.07

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Solution

The fourth proportional to 1,793.08, 2,689.57 and 561.07 is: 841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.08 : 2,689.57 = 561.07 : x
  2. Step 2: Convert to fraction form
    1,793.08/2,689.57 = 561.07/x
  3. Step 3: Cross multiply
    1,793.08x = 2,689.57 × 561.07
  4. Step 4: Simplify right side
    1,793.08x = 1,509,020.79
  5. Step 5: Solve for x
    x = 1,509,020.79/1,793.08
  6. Step 6: Final answer
    x = 841.58

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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.