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Finding the Fourth Proportional to 2,296.45, 3,440.05 and 1,062.16

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Solution

The fourth proportional to 2,296.45, 3,440.05 and 1,062.16 is: 1,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.45 : 3,440.05 = 1,062.16 : x
  2. Step 2: Convert to fraction form
    2,296.45/3,440.05 = 1,062.16/x
  3. Step 3: Cross multiply
    2,296.45x = 3,440.05 × 1,062.16
  4. Step 4: Simplify right side
    2,296.45x = 3,653,883.51
  5. Step 5: Solve for x
    x = 3,653,883.51/2,296.45
  6. Step 6: Final answer
    x = 1,591.10

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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.