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Finding the Fourth Proportional to 2,977.94, 4,113.52 and 2,482.22

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Solution

The fourth proportional to 2,977.94, 4,113.52 and 2,482.22 is: 3,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.94 : 4,113.52 = 2,482.22 : x
  2. Step 2: Convert to fraction form
    2,977.94/4,113.52 = 2,482.22/x
  3. Step 3: Cross multiply
    2,977.94x = 4,113.52 × 2,482.22
  4. Step 4: Simplify right side
    2,977.94x = 10,210,661.61
  5. Step 5: Solve for x
    x = 10,210,661.61/2,977.94
  6. Step 6: Final answer
    x = 3,428.77

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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.