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Finding the Fourth Proportional to 3,402.54, 4,698.27 and 2,145.69

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Solution

The fourth proportional to 3,402.54, 4,698.27 and 2,145.69 is: 2,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.54 : 4,698.27 = 2,145.69 : x
  2. Step 2: Convert to fraction form
    3,402.54/4,698.27 = 2,145.69/x
  3. Step 3: Cross multiply
    3,402.54x = 4,698.27 × 2,145.69
  4. Step 4: Simplify right side
    3,402.54x = 10,081,030.96
  5. Step 5: Solve for x
    x = 10,081,030.96/3,402.54
  6. Step 6: Final answer
    x = 2,962.80

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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.