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Finding the Fourth Proportional to 1,770.26, 2,444.73 and 1,458.61

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Solution

The fourth proportional to 1,770.26, 2,444.73 and 1,458.61 is: 2,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.26 : 2,444.73 = 1,458.61 : x
  2. Step 2: Convert to fraction form
    1,770.26/2,444.73 = 1,458.61/x
  3. Step 3: Cross multiply
    1,770.26x = 2,444.73 × 1,458.61
  4. Step 4: Simplify right side
    1,770.26x = 3,565,905.21
  5. Step 5: Solve for x
    x = 3,565,905.21/1,770.26
  6. Step 6: Final answer
    x = 2,014.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.