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Finding the Fourth Proportional to 2,296.99, 3,445.53 and 910

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Solution

The fourth proportional to 2,296.99, 3,445.53 and 910 is: 1,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.99 : 3,445.53 = 910 : x
  2. Step 2: Convert to fraction form
    2,296.99/3,445.53 = 910/x
  3. Step 3: Cross multiply
    2,296.99x = 3,445.53 × 910
  4. Step 4: Simplify right side
    2,296.99x = 3,135,432.30
  5. Step 5: Solve for x
    x = 3,135,432.30/2,296.99
  6. Step 6: Final answer
    x = 1,365.02

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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.