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Finding the Fourth Proportional to 1,730.70, 2,595.11 and 1,183.50

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Solution

The fourth proportional to 1,730.70, 2,595.11 and 1,183.50 is: 1,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.70 : 2,595.11 = 1,183.50 : x
  2. Step 2: Convert to fraction form
    1,730.70/2,595.11 = 1,183.50/x
  3. Step 3: Cross multiply
    1,730.70x = 2,595.11 × 1,183.50
  4. Step 4: Simplify right side
    1,730.70x = 3,071,306.77
  5. Step 5: Solve for x
    x = 3,071,306.77/1,730.70
  6. Step 6: Final answer
    x = 1,774.60

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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.