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Finding the Fourth Proportional to 2,297.84, 3,447.08 and 1,065.57

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Solution

The fourth proportional to 2,297.84, 3,447.08 and 1,065.57 is: 1,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.84 : 3,447.08 = 1,065.57 : x
  2. Step 2: Convert to fraction form
    2,297.84/3,447.08 = 1,065.57/x
  3. Step 3: Cross multiply
    2,297.84x = 3,447.08 × 1,065.57
  4. Step 4: Simplify right side
    2,297.84x = 3,673,099.71
  5. Step 5: Solve for x
    x = 3,673,099.71/2,297.84
  6. Step 6: Final answer
    x = 1,598.50

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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.