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Finding the Fourth Proportional to 2,950.95, 4,070.61 and 2,153.24

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Solution

The fourth proportional to 2,950.95, 4,070.61 and 2,153.24 is: 2,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.95 : 4,070.61 = 2,153.24 : x
  2. Step 2: Convert to fraction form
    2,950.95/4,070.61 = 2,153.24/x
  3. Step 3: Cross multiply
    2,950.95x = 4,070.61 × 2,153.24
  4. Step 4: Simplify right side
    2,950.95x = 8,764,979.92
  5. Step 5: Solve for x
    x = 8,764,979.92/2,950.95
  6. Step 6: Final answer
    x = 2,970.22

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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.