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Finding the Fourth Proportional to 2,298.50, 3,447.74 and 837.76

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Solution

The fourth proportional to 2,298.50, 3,447.74 and 837.76 is: 1,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.50 : 3,447.74 = 837.76 : x
  2. Step 2: Convert to fraction form
    2,298.50/3,447.74 = 837.76/x
  3. Step 3: Cross multiply
    2,298.50x = 3,447.74 × 837.76
  4. Step 4: Simplify right side
    2,298.50x = 2,888,372.14
  5. Step 5: Solve for x
    x = 2,888,372.14/2,298.50
  6. Step 6: Final answer
    x = 1,256.64

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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.