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Finding the Fourth Proportional to 2,296.60, 3,442.95 and 910.91

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Solution

The fourth proportional to 2,296.60, 3,442.95 and 910.91 is: 1,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.60 : 3,442.95 = 910.91 : x
  2. Step 2: Convert to fraction form
    2,296.60/3,442.95 = 910.91/x
  3. Step 3: Cross multiply
    2,296.60x = 3,442.95 × 910.91
  4. Step 4: Simplify right side
    2,296.60x = 3,136,226.19
  5. Step 5: Solve for x
    x = 3,136,226.19/2,296.60
  6. Step 6: Final answer
    x = 1,365.60

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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.