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Finding the Fourth Proportional to 1,907.34, 2,632.17 and 1,348.81

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Solution

The fourth proportional to 1,907.34, 2,632.17 and 1,348.81 is: 1,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.34 : 2,632.17 = 1,348.81 : x
  2. Step 2: Convert to fraction form
    1,907.34/2,632.17 = 1,348.81/x
  3. Step 3: Cross multiply
    1,907.34x = 2,632.17 × 1,348.81
  4. Step 4: Simplify right side
    1,907.34x = 3,550,297.22
  5. Step 5: Solve for x
    x = 3,550,297.22/1,907.34
  6. Step 6: Final answer
    x = 1,861.39

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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.