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Finding the Fourth Proportional to 1,880, 2,592 and 1,542.66

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Solution

The fourth proportional to 1,880, 2,592 and 1,542.66 is: 2,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880 : 2,592 = 1,542.66 : x
  2. Step 2: Convert to fraction form
    1,880/2,592 = 1,542.66/x
  3. Step 3: Cross multiply
    1,880x = 2,592 × 1,542.66
  4. Step 4: Simplify right side
    1,880x = 3,998,574.72
  5. Step 5: Solve for x
    x = 3,998,574.72/1,880
  6. Step 6: Final answer
    x = 2,126.90

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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.