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Finding the Fourth Proportional to 2,363.68, 3,547.68 and 1,814.08

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Solution

The fourth proportional to 2,363.68, 3,547.68 and 1,814.08 is: 2,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.68 : 3,547.68 = 1,814.08 : x
  2. Step 2: Convert to fraction form
    2,363.68/3,547.68 = 1,814.08/x
  3. Step 3: Cross multiply
    2,363.68x = 3,547.68 × 1,814.08
  4. Step 4: Simplify right side
    2,363.68x = 6,435,775.33
  5. Step 5: Solve for x
    x = 6,435,775.33/2,363.68
  6. Step 6: Final answer
    x = 2,722.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.