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Finding the Fourth Proportional to 1,952.90, 2,695.95 and 1,532.30

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Solution

The fourth proportional to 1,952.90, 2,695.95 and 1,532.30 is: 2,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.90 : 2,695.95 = 1,532.30 : x
  2. Step 2: Convert to fraction form
    1,952.90/2,695.95 = 1,532.30/x
  3. Step 3: Cross multiply
    1,952.90x = 2,695.95 × 1,532.30
  4. Step 4: Simplify right side
    1,952.90x = 4,131,004.19
  5. Step 5: Solve for x
    x = 4,131,004.19/1,952.90
  6. Step 6: Final answer
    x = 2,115.32

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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.