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Finding the Fourth Proportional to 2,684.34, 3,703.86 and 1,565.46

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Solution

The fourth proportional to 2,684.34, 3,703.86 and 1,565.46 is: 2,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.34 : 3,703.86 = 1,565.46 : x
  2. Step 2: Convert to fraction form
    2,684.34/3,703.86 = 1,565.46/x
  3. Step 3: Cross multiply
    2,684.34x = 3,703.86 × 1,565.46
  4. Step 4: Simplify right side
    2,684.34x = 5,798,244.68
  5. Step 5: Solve for x
    x = 5,798,244.68/2,684.34
  6. Step 6: Final answer
    x = 2,160.03

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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.