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Finding the Fourth Proportional to 1,501.74, 2,250.72 and 1,137.24

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Solution

The fourth proportional to 1,501.74, 2,250.72 and 1,137.24 is: 1,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.74 : 2,250.72 = 1,137.24 : x
  2. Step 2: Convert to fraction form
    1,501.74/2,250.72 = 1,137.24/x
  3. Step 3: Cross multiply
    1,501.74x = 2,250.72 × 1,137.24
  4. Step 4: Simplify right side
    1,501.74x = 2,559,608.81
  5. Step 5: Solve for x
    x = 2,559,608.81/1,501.74
  6. Step 6: Final answer
    x = 1,704.43

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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.