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Finding the Fourth Proportional to 1,566, 2,349 and 540

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Solution

The fourth proportional to 1,566, 2,349 and 540 is: 810

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566 : 2,349 = 540 : x
  2. Step 2: Convert to fraction form
    1,566/2,349 = 540/x
  3. Step 3: Cross multiply
    1,566x = 2,349 × 540
  4. Step 4: Simplify right side
    1,566x = 1,268,460
  5. Step 5: Solve for x
    x = 1,268,460/1,566
  6. Step 6: Final answer
    x = 810

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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.