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Finding the Fourth Proportional to 2,966.69, 4,094.21 and 1,707.71

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Solution

The fourth proportional to 2,966.69, 4,094.21 and 1,707.71 is: 2,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.69 : 4,094.21 = 1,707.71 : x
  2. Step 2: Convert to fraction form
    2,966.69/4,094.21 = 1,707.71/x
  3. Step 3: Cross multiply
    2,966.69x = 4,094.21 × 1,707.71
  4. Step 4: Simplify right side
    2,966.69x = 6,991,725.06
  5. Step 5: Solve for x
    x = 6,991,725.06/2,966.69
  6. Step 6: Final answer
    x = 2,356.74

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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.