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Finding the Fourth Proportional to 2,296.55, 3,442.70 and 835.31

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Solution

The fourth proportional to 2,296.55, 3,442.70 and 835.31 is: 1,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.55 : 3,442.70 = 835.31 : x
  2. Step 2: Convert to fraction form
    2,296.55/3,442.70 = 835.31/x
  3. Step 3: Cross multiply
    2,296.55x = 3,442.70 × 835.31
  4. Step 4: Simplify right side
    2,296.55x = 2,875,700.35
  5. Step 5: Solve for x
    x = 2,875,700.35/2,296.55
  6. Step 6: Final answer
    x = 1,252.19

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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.