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Finding the Fourth Proportional to 2,846.70, 4,273.51 and 1,614.96

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Solution

The fourth proportional to 2,846.70, 4,273.51 and 1,614.96 is: 2,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.70 : 4,273.51 = 1,614.96 : x
  2. Step 2: Convert to fraction form
    2,846.70/4,273.51 = 1,614.96/x
  3. Step 3: Cross multiply
    2,846.70x = 4,273.51 × 1,614.96
  4. Step 4: Simplify right side
    2,846.70x = 6,901,547.71
  5. Step 5: Solve for x
    x = 6,901,547.71/2,846.70
  6. Step 6: Final answer
    x = 2,424.40

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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.