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Finding the Fourth Proportional to 1,407.38, 2,111.07 and 381.38

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Solution

The fourth proportional to 1,407.38, 2,111.07 and 381.38 is: 572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.38 : 2,111.07 = 381.38 : x
  2. Step 2: Convert to fraction form
    1,407.38/2,111.07 = 381.38/x
  3. Step 3: Cross multiply
    1,407.38x = 2,111.07 × 381.38
  4. Step 4: Simplify right side
    1,407.38x = 805,109.32
  5. Step 5: Solve for x
    x = 805,109.32/1,407.38
  6. Step 6: Final answer
    x = 572.06

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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.