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Finding the Fourth Proportional to 2,828.52, 4,235.04 and 1,594.08

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Solution

The fourth proportional to 2,828.52, 4,235.04 and 1,594.08 is: 2,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.52 : 4,235.04 = 1,594.08 : x
  2. Step 2: Convert to fraction form
    2,828.52/4,235.04 = 1,594.08/x
  3. Step 3: Cross multiply
    2,828.52x = 4,235.04 × 1,594.08
  4. Step 4: Simplify right side
    2,828.52x = 6,750,992.56
  5. Step 5: Solve for x
    x = 6,750,992.56/2,828.52
  6. Step 6: Final answer
    x = 2,386.76

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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.