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Finding the Fourth Proportional to 3,256.68, 4,884 and 1,065.06

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Solution

The fourth proportional to 3,256.68, 4,884 and 1,065.06 is: 1,597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.68 : 4,884 = 1,065.06 : x
  2. Step 2: Convert to fraction form
    3,256.68/4,884 = 1,065.06/x
  3. Step 3: Cross multiply
    3,256.68x = 4,884 × 1,065.06
  4. Step 4: Simplify right side
    3,256.68x = 5,201,753.04
  5. Step 5: Solve for x
    x = 5,201,753.04/3,256.68
  6. Step 6: Final answer
    x = 1,597.26

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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.