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Finding the Fourth Proportional to 2,363.96, 3,547.84 and 1,065.54

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Solution

The fourth proportional to 2,363.96, 3,547.84 and 1,065.54 is: 1,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.96 : 3,547.84 = 1,065.54 : x
  2. Step 2: Convert to fraction form
    2,363.96/3,547.84 = 1,065.54/x
  3. Step 3: Cross multiply
    2,363.96x = 3,547.84 × 1,065.54
  4. Step 4: Simplify right side
    2,363.96x = 3,780,365.43
  5. Step 5: Solve for x
    x = 3,780,365.43/2,363.96
  6. Step 6: Final answer
    x = 1,599.17

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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.