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Finding the Fourth Proportional to 2,375.36, 3,564 and 1,075.52

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Solution

The fourth proportional to 2,375.36, 3,564 and 1,075.52 is: 1,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.36 : 3,564 = 1,075.52 : x
  2. Step 2: Convert to fraction form
    2,375.36/3,564 = 1,075.52/x
  3. Step 3: Cross multiply
    2,375.36x = 3,564 × 1,075.52
  4. Step 4: Simplify right side
    2,375.36x = 3,833,153.28
  5. Step 5: Solve for x
    x = 3,833,153.28/2,375.36
  6. Step 6: Final answer
    x = 1,613.71

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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.