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Finding the Fourth Proportional to 2,394.56, 3,595.80 and 1,809.56

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Solution

The fourth proportional to 2,394.56, 3,595.80 and 1,809.56 is: 2,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.56 : 3,595.80 = 1,809.56 : x
  2. Step 2: Convert to fraction form
    2,394.56/3,595.80 = 1,809.56/x
  3. Step 3: Cross multiply
    2,394.56x = 3,595.80 × 1,809.56
  4. Step 4: Simplify right side
    2,394.56x = 6,506,815.85
  5. Step 5: Solve for x
    x = 6,506,815.85/2,394.56
  6. Step 6: Final answer
    x = 2,717.33

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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.