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Finding the Fourth Proportional to 2,503.58, 3,752.80 and 1,267.24

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Solution

The fourth proportional to 2,503.58, 3,752.80 and 1,267.24 is: 1,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.58 : 3,752.80 = 1,267.24 : x
  2. Step 2: Convert to fraction form
    2,503.58/3,752.80 = 1,267.24/x
  3. Step 3: Cross multiply
    2,503.58x = 3,752.80 × 1,267.24
  4. Step 4: Simplify right side
    2,503.58x = 4,755,698.27
  5. Step 5: Solve for x
    x = 4,755,698.27/2,503.58
  6. Step 6: Final answer
    x = 1,899.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.