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Finding the Fourth Proportional to 2,296.31, 3,444.59 and 653.00

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Solution

The fourth proportional to 2,296.31, 3,444.59 and 653.00 is: 979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.31 : 3,444.59 = 653.00 : x
  2. Step 2: Convert to fraction form
    2,296.31/3,444.59 = 653.00/x
  3. Step 3: Cross multiply
    2,296.31x = 3,444.59 × 653.00
  4. Step 4: Simplify right side
    2,296.31x = 2,249,301.68
  5. Step 5: Solve for x
    x = 2,249,301.68/2,296.31
  6. Step 6: Final answer
    x = 979.53

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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.