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Finding the Fourth Proportional to 2,296.94, 3,445.61 and 653.51

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Solution

The fourth proportional to 2,296.94, 3,445.61 and 653.51 is: 980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.94 : 3,445.61 = 653.51 : x
  2. Step 2: Convert to fraction form
    2,296.94/3,445.61 = 653.51/x
  3. Step 3: Cross multiply
    2,296.94x = 3,445.61 × 653.51
  4. Step 4: Simplify right side
    2,296.94x = 2,251,720.10
  5. Step 5: Solve for x
    x = 2,251,720.10/2,296.94
  6. Step 6: Final answer
    x = 980.32

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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.