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Finding the Fourth Proportional to 2,106.81, 2,909.43 and 1,909.98

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Solution

The fourth proportional to 2,106.81, 2,909.43 and 1,909.98 is: 2,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.81 : 2,909.43 = 1,909.98 : x
  2. Step 2: Convert to fraction form
    2,106.81/2,909.43 = 1,909.98/x
  3. Step 3: Cross multiply
    2,106.81x = 2,909.43 × 1,909.98
  4. Step 4: Simplify right side
    2,106.81x = 5,556,953.11
  5. Step 5: Solve for x
    x = 5,556,953.11/2,106.81
  6. Step 6: Final answer
    x = 2,637.61

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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.