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Finding the Fourth Proportional to 1,563.57, 2,342.79 and 1,503.63

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Solution

The fourth proportional to 1,563.57, 2,342.79 and 1,503.63 is: 2,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.57 : 2,342.79 = 1,503.63 : x
  2. Step 2: Convert to fraction form
    1,563.57/2,342.79 = 1,503.63/x
  3. Step 3: Cross multiply
    1,563.57x = 2,342.79 × 1,503.63
  4. Step 4: Simplify right side
    1,563.57x = 3,522,689.33
  5. Step 5: Solve for x
    x = 3,522,689.33/1,563.57
  6. Step 6: Final answer
    x = 2,252.98

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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.