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Finding the Fourth Proportional to 1,375.08, 1,897.68 and 1,356.72

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Solution

The fourth proportional to 1,375.08, 1,897.68 and 1,356.72 is: 1,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.08 : 1,897.68 = 1,356.72 : x
  2. Step 2: Convert to fraction form
    1,375.08/1,897.68 = 1,356.72/x
  3. Step 3: Cross multiply
    1,375.08x = 1,897.68 × 1,356.72
  4. Step 4: Simplify right side
    1,375.08x = 2,574,620.41
  5. Step 5: Solve for x
    x = 2,574,620.41/1,375.08
  6. Step 6: Final answer
    x = 1,872.34

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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.