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Finding the Fourth Proportional to 2,296.05, 3,443.80 and 835.08

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Solution

The fourth proportional to 2,296.05, 3,443.80 and 835.08 is: 1,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.05 : 3,443.80 = 835.08 : x
  2. Step 2: Convert to fraction form
    2,296.05/3,443.80 = 835.08/x
  3. Step 3: Cross multiply
    2,296.05x = 3,443.80 × 835.08
  4. Step 4: Simplify right side
    2,296.05x = 2,875,848.50
  5. Step 5: Solve for x
    x = 2,875,848.50/2,296.05
  6. Step 6: Final answer
    x = 1,252.52

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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.