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Finding the Fourth Proportional to 1,395.87, 1,926.09 and 836.24

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Solution

The fourth proportional to 1,395.87, 1,926.09 and 836.24 is: 1,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.87 : 1,926.09 = 836.24 : x
  2. Step 2: Convert to fraction form
    1,395.87/1,926.09 = 836.24/x
  3. Step 3: Cross multiply
    1,395.87x = 1,926.09 × 836.24
  4. Step 4: Simplify right side
    1,395.87x = 1,610,663.87
  5. Step 5: Solve for x
    x = 1,610,663.87/1,395.87
  6. Step 6: Final answer
    x = 1,153.88

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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.