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Finding the Fourth Proportional to 2,293.64, 3,444.50 and 1,708.80

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Solution

The fourth proportional to 2,293.64, 3,444.50 and 1,708.80 is: 2,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.64 : 3,444.50 = 1,708.80 : x
  2. Step 2: Convert to fraction form
    2,293.64/3,444.50 = 1,708.80/x
  3. Step 3: Cross multiply
    2,293.64x = 3,444.50 × 1,708.80
  4. Step 4: Simplify right side
    2,293.64x = 5,885,961.60
  5. Step 5: Solve for x
    x = 5,885,961.60/2,293.64
  6. Step 6: Final answer
    x = 2,566.21

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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.