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Finding the Fourth Proportional to 1,738.58, 2,400.01 and 1,109.94

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Solution

The fourth proportional to 1,738.58, 2,400.01 and 1,109.94 is: 1,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.58 : 2,400.01 = 1,109.94 : x
  2. Step 2: Convert to fraction form
    1,738.58/2,400.01 = 1,109.94/x
  3. Step 3: Cross multiply
    1,738.58x = 2,400.01 × 1,109.94
  4. Step 4: Simplify right side
    1,738.58x = 2,663,867.10
  5. Step 5: Solve for x
    x = 2,663,867.10/1,738.58
  6. Step 6: Final answer
    x = 1,532.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.