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Finding the Fourth Proportional to 1,501.74, 2,247.75 and 1,339.74

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Solution

The fourth proportional to 1,501.74, 2,247.75 and 1,339.74 is: 2,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.74 : 2,247.75 = 1,339.74 : x
  2. Step 2: Convert to fraction form
    1,501.74/2,247.75 = 1,339.74/x
  3. Step 3: Cross multiply
    1,501.74x = 2,247.75 × 1,339.74
  4. Step 4: Simplify right side
    1,501.74x = 3,011,400.59
  5. Step 5: Solve for x
    x = 3,011,400.59/1,501.74
  6. Step 6: Final answer
    x = 2,005.27

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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.