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Finding the Fourth Proportional to 2,684.71, 4,026.46 and 953.34

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Solution

The fourth proportional to 2,684.71, 4,026.46 and 953.34 is: 1,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.71 : 4,026.46 = 953.34 : x
  2. Step 2: Convert to fraction form
    2,684.71/4,026.46 = 953.34/x
  3. Step 3: Cross multiply
    2,684.71x = 4,026.46 × 953.34
  4. Step 4: Simplify right side
    2,684.71x = 3,838,585.38
  5. Step 5: Solve for x
    x = 3,838,585.38/2,684.71
  6. Step 6: Final answer
    x = 1,429.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.