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Finding the Fourth Proportional to 2,974.68, 4,106.16 and 1,856.70

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Solution

The fourth proportional to 2,974.68, 4,106.16 and 1,856.70 is: 2,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.68 : 4,106.16 = 1,856.70 : x
  2. Step 2: Convert to fraction form
    2,974.68/4,106.16 = 1,856.70/x
  3. Step 3: Cross multiply
    2,974.68x = 4,106.16 × 1,856.70
  4. Step 4: Simplify right side
    2,974.68x = 7,623,907.27
  5. Step 5: Solve for x
    x = 7,623,907.27/2,974.68
  6. Step 6: Final answer
    x = 2,562.93

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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.