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Finding the Fourth Proportional to 2,503.19, 3,754.75 and 1,116.17

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Solution

The fourth proportional to 2,503.19, 3,754.75 and 1,116.17 is: 1,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.19 : 3,754.75 = 1,116.17 : x
  2. Step 2: Convert to fraction form
    2,503.19/3,754.75 = 1,116.17/x
  3. Step 3: Cross multiply
    2,503.19x = 3,754.75 × 1,116.17
  4. Step 4: Simplify right side
    2,503.19x = 4,190,939.31
  5. Step 5: Solve for x
    x = 4,190,939.31/2,503.19
  6. Step 6: Final answer
    x = 1,674.24

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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.