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Finding the Fourth Proportional to 1,375.04, 1,900.32 and 1,352

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Solution

The fourth proportional to 1,375.04, 1,900.32 and 1,352 is: 1,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.04 : 1,900.32 = 1,352 : x
  2. Step 2: Convert to fraction form
    1,375.04/1,900.32 = 1,352/x
  3. Step 3: Cross multiply
    1,375.04x = 1,900.32 × 1,352
  4. Step 4: Simplify right side
    1,375.04x = 2,569,232.64
  5. Step 5: Solve for x
    x = 2,569,232.64/1,375.04
  6. Step 6: Final answer
    x = 1,868.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.