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Finding the Fourth Proportional to 2,396.93, 3,594.74 and 815.49

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Solution

The fourth proportional to 2,396.93, 3,594.74 and 815.49 is: 1,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.93 : 3,594.74 = 815.49 : x
  2. Step 2: Convert to fraction form
    2,396.93/3,594.74 = 815.49/x
  3. Step 3: Cross multiply
    2,396.93x = 3,594.74 × 815.49
  4. Step 4: Simplify right side
    2,396.93x = 2,931,470.45
  5. Step 5: Solve for x
    x = 2,931,470.45/2,396.93
  6. Step 6: Final answer
    x = 1,223.01

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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.