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Finding the Fourth Proportional to 2,609.91, 3,601.56 and 1,430.76

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Solution

The fourth proportional to 2,609.91, 3,601.56 and 1,430.76 is: 1,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.91 : 3,601.56 = 1,430.76 : x
  2. Step 2: Convert to fraction form
    2,609.91/3,601.56 = 1,430.76/x
  3. Step 3: Cross multiply
    2,609.91x = 3,601.56 × 1,430.76
  4. Step 4: Simplify right side
    2,609.91x = 5,152,967.99
  5. Step 5: Solve for x
    x = 5,152,967.99/2,609.91
  6. Step 6: Final answer
    x = 1,974.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.