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Finding the Fourth Proportional to 2,296.06, 3,436.80 and 1,810.06

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Solution

The fourth proportional to 2,296.06, 3,436.80 and 1,810.06 is: 2,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.06 : 3,436.80 = 1,810.06 : x
  2. Step 2: Convert to fraction form
    2,296.06/3,436.80 = 1,810.06/x
  3. Step 3: Cross multiply
    2,296.06x = 3,436.80 × 1,810.06
  4. Step 4: Simplify right side
    2,296.06x = 6,220,814.21
  5. Step 5: Solve for x
    x = 6,220,814.21/2,296.06
  6. Step 6: Final answer
    x = 2,709.34

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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.