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Finding the Fourth Proportional to 2,106, 2,918.70 and 2,073.60

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Solution

The fourth proportional to 2,106, 2,918.70 and 2,073.60 is: 2,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 2,918.70 = 2,073.60 : x
  2. Step 2: Convert to fraction form
    2,106/2,918.70 = 2,073.60/x
  3. Step 3: Cross multiply
    2,106x = 2,918.70 × 2,073.60
  4. Step 4: Simplify right side
    2,106x = 6,052,216.32
  5. Step 5: Solve for x
    x = 6,052,216.32/2,106
  6. Step 6: Final answer
    x = 2,873.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.