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Finding the Fourth Proportional to 2,295.76, 3,444.26 and 1,638.46

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Solution

The fourth proportional to 2,295.76, 3,444.26 and 1,638.46 is: 2,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.76 : 3,444.26 = 1,638.46 : x
  2. Step 2: Convert to fraction form
    2,295.76/3,444.26 = 1,638.46/x
  3. Step 3: Cross multiply
    2,295.76x = 3,444.26 × 1,638.46
  4. Step 4: Simplify right side
    2,295.76x = 5,643,282.24
  5. Step 5: Solve for x
    x = 5,643,282.24/2,295.76
  6. Step 6: Final answer
    x = 2,458.13

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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.