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Finding the Fourth Proportional to 2,394.74, 3,594.54 and 1,529.66

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Solution

The fourth proportional to 2,394.74, 3,594.54 and 1,529.66 is: 2,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.74 : 3,594.54 = 1,529.66 : x
  2. Step 2: Convert to fraction form
    2,394.74/3,594.54 = 1,529.66/x
  3. Step 3: Cross multiply
    2,394.74x = 3,594.54 × 1,529.66
  4. Step 4: Simplify right side
    2,394.74x = 5,498,424.06
  5. Step 5: Solve for x
    x = 5,498,424.06/2,394.74
  6. Step 6: Final answer
    x = 2,296.04

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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.