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Finding the Fourth Proportional to 2,809.58, 4,212.01 and 1,053.59

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Solution

The fourth proportional to 2,809.58, 4,212.01 and 1,053.59 is: 1,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.58 : 4,212.01 = 1,053.59 : x
  2. Step 2: Convert to fraction form
    2,809.58/4,212.01 = 1,053.59/x
  3. Step 3: Cross multiply
    2,809.58x = 4,212.01 × 1,053.59
  4. Step 4: Simplify right side
    2,809.58x = 4,437,711.87
  5. Step 5: Solve for x
    x = 4,437,711.87/2,809.58
  6. Step 6: Final answer
    x = 1,579.50

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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.