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Finding the Fourth Proportional to 2,542.06, 3,508.06 and 1,423

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Solution

The fourth proportional to 2,542.06, 3,508.06 and 1,423 is: 1,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.06 : 3,508.06 = 1,423 : x
  2. Step 2: Convert to fraction form
    2,542.06/3,508.06 = 1,423/x
  3. Step 3: Cross multiply
    2,542.06x = 3,508.06 × 1,423
  4. Step 4: Simplify right side
    2,542.06x = 4,991,969.38
  5. Step 5: Solve for x
    x = 4,991,969.38/2,542.06
  6. Step 6: Final answer
    x = 1,963.75

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1.5x scale

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.