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Finding the Fourth Proportional to 1,646.57, 2,273.65 and 1,527.86

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Solution

The fourth proportional to 1,646.57, 2,273.65 and 1,527.86 is: 2,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.57 : 2,273.65 = 1,527.86 : x
  2. Step 2: Convert to fraction form
    1,646.57/2,273.65 = 1,527.86/x
  3. Step 3: Cross multiply
    1,646.57x = 2,273.65 × 1,527.86
  4. Step 4: Simplify right side
    1,646.57x = 3,473,820.75
  5. Step 5: Solve for x
    x = 3,473,820.75/1,646.57
  6. Step 6: Final answer
    x = 2,109.73

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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.