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Finding the Fourth Proportional to 2,501.44, 3,752.10 and 1,114.42

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Solution

The fourth proportional to 2,501.44, 3,752.10 and 1,114.42 is: 1,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.44 : 3,752.10 = 1,114.42 : x
  2. Step 2: Convert to fraction form
    2,501.44/3,752.10 = 1,114.42/x
  3. Step 3: Cross multiply
    2,501.44x = 3,752.10 × 1,114.42
  4. Step 4: Simplify right side
    2,501.44x = 4,181,415.28
  5. Step 5: Solve for x
    x = 4,181,415.28/2,501.44
  6. Step 6: Final answer
    x = 1,671.60

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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.