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Finding the Fourth Proportional to 3,407.10, 4,700.76 and 1,914.82

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Solution

The fourth proportional to 3,407.10, 4,700.76 and 1,914.82 is: 2,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.10 : 4,700.76 = 1,914.82 : x
  2. Step 2: Convert to fraction form
    3,407.10/4,700.76 = 1,914.82/x
  3. Step 3: Cross multiply
    3,407.10x = 4,700.76 × 1,914.82
  4. Step 4: Simplify right side
    3,407.10x = 9,001,109.26
  5. Step 5: Solve for x
    x = 9,001,109.26/3,407.10
  6. Step 6: Final answer
    x = 2,641.87

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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.