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Finding the Fourth Proportional to 2,308.44, 3,464.49 and 1,075.22

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Solution

The fourth proportional to 2,308.44, 3,464.49 and 1,075.22 is: 1,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.44 : 3,464.49 = 1,075.22 : x
  2. Step 2: Convert to fraction form
    2,308.44/3,464.49 = 1,075.22/x
  3. Step 3: Cross multiply
    2,308.44x = 3,464.49 × 1,075.22
  4. Step 4: Simplify right side
    2,308.44x = 3,725,088.94
  5. Step 5: Solve for x
    x = 3,725,088.94/2,308.44
  6. Step 6: Final answer
    x = 1,613.68

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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.