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Finding the Fourth Proportional to 2,938.52, 4,406.38 and 1,706.31

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Solution

The fourth proportional to 2,938.52, 4,406.38 and 1,706.31 is: 2,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.52 : 4,406.38 = 1,706.31 : x
  2. Step 2: Convert to fraction form
    2,938.52/4,406.38 = 1,706.31/x
  3. Step 3: Cross multiply
    2,938.52x = 4,406.38 × 1,706.31
  4. Step 4: Simplify right side
    2,938.52x = 7,518,650.26
  5. Step 5: Solve for x
    x = 7,518,650.26/2,938.52
  6. Step 6: Final answer
    x = 2,558.65

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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.