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Finding the Fourth Proportional to 2,009.68, 2,771.40 and 1,567.42

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Solution

The fourth proportional to 2,009.68, 2,771.40 and 1,567.42 is: 2,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.68 : 2,771.40 = 1,567.42 : x
  2. Step 2: Convert to fraction form
    2,009.68/2,771.40 = 1,567.42/x
  3. Step 3: Cross multiply
    2,009.68x = 2,771.40 × 1,567.42
  4. Step 4: Simplify right side
    2,009.68x = 4,343,947.79
  5. Step 5: Solve for x
    x = 4,343,947.79/2,009.68
  6. Step 6: Final answer
    x = 2,161.51

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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.