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Finding the Fourth Proportional to 3,411.28, 4,707.48 and 2,014

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Solution

The fourth proportional to 3,411.28, 4,707.48 and 2,014 is: 2,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.28 : 4,707.48 = 2,014 : x
  2. Step 2: Convert to fraction form
    3,411.28/4,707.48 = 2,014/x
  3. Step 3: Cross multiply
    3,411.28x = 4,707.48 × 2,014
  4. Step 4: Simplify right side
    3,411.28x = 9,480,864.72
  5. Step 5: Solve for x
    x = 9,480,864.72/3,411.28
  6. Step 6: Final answer
    x = 2,779.27

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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.