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Finding the Fourth Proportional to 3,411.45, 4,705.65 and 2,151.45

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Solution

The fourth proportional to 3,411.45, 4,705.65 and 2,151.45 is: 2,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.45 : 4,705.65 = 2,151.45 : x
  2. Step 2: Convert to fraction form
    3,411.45/4,705.65 = 2,151.45/x
  3. Step 3: Cross multiply
    3,411.45x = 4,705.65 × 2,151.45
  4. Step 4: Simplify right side
    3,411.45x = 10,123,970.69
  5. Step 5: Solve for x
    x = 10,123,970.69/3,411.45
  6. Step 6: Final answer
    x = 2,967.64

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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.