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Finding the Fourth Proportional to 2,953.10, 4,429.65 and 2,477.90

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Solution

The fourth proportional to 2,953.10, 4,429.65 and 2,477.90 is: 3,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.10 : 4,429.65 = 2,477.90 : x
  2. Step 2: Convert to fraction form
    2,953.10/4,429.65 = 2,477.90/x
  3. Step 3: Cross multiply
    2,953.10x = 4,429.65 × 2,477.90
  4. Step 4: Simplify right side
    2,953.10x = 10,976,229.74
  5. Step 5: Solve for x
    x = 10,976,229.74/2,953.10
  6. Step 6: Final answer
    x = 3,716.85

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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.