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Finding the Fourth Proportional to 2,296.37, 3,444.72 and 653.04

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Solution

The fourth proportional to 2,296.37, 3,444.72 and 653.04 is: 979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.37 : 3,444.72 = 653.04 : x
  2. Step 2: Convert to fraction form
    2,296.37/3,444.72 = 653.04/x
  3. Step 3: Cross multiply
    2,296.37x = 3,444.72 × 653.04
  4. Step 4: Simplify right side
    2,296.37x = 2,249,539.95
  5. Step 5: Solve for x
    x = 2,249,539.95/2,296.37
  6. Step 6: Final answer
    x = 979.61

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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.