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Finding the Fourth Proportional to 2,395.78, 3,594.13 and 836.23

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Solution

The fourth proportional to 2,395.78, 3,594.13 and 836.23 is: 1,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.78 : 3,594.13 = 836.23 : x
  2. Step 2: Convert to fraction form
    2,395.78/3,594.13 = 836.23/x
  3. Step 3: Cross multiply
    2,395.78x = 3,594.13 × 836.23
  4. Step 4: Simplify right side
    2,395.78x = 3,005,508.76
  5. Step 5: Solve for x
    x = 3,005,508.76/2,395.78
  6. Step 6: Final answer
    x = 1,254.50

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1.5x scale

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.