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Finding the Fourth Proportional to 2,376.13, 3,564.20 and 837.13

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Solution

The fourth proportional to 2,376.13, 3,564.20 and 837.13 is: 1,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.13 : 3,564.20 = 837.13 : x
  2. Step 2: Convert to fraction form
    2,376.13/3,564.20 = 837.13/x
  3. Step 3: Cross multiply
    2,376.13x = 3,564.20 × 837.13
  4. Step 4: Simplify right side
    2,376.13x = 2,983,698.75
  5. Step 5: Solve for x
    x = 2,983,698.75/2,376.13
  6. Step 6: Final answer
    x = 1,255.70

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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.