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Finding the Fourth Proportional to 2,106.48, 2,906.55 and 1,174.98

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Solution

The fourth proportional to 2,106.48, 2,906.55 and 1,174.98 is: 1,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.48 : 2,906.55 = 1,174.98 : x
  2. Step 2: Convert to fraction form
    2,106.48/2,906.55 = 1,174.98/x
  3. Step 3: Cross multiply
    2,106.48x = 2,906.55 × 1,174.98
  4. Step 4: Simplify right side
    2,106.48x = 3,415,138.12
  5. Step 5: Solve for x
    x = 3,415,138.12/2,106.48
  6. Step 6: Final answer
    x = 1,621.25

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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.