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Finding the Fourth Proportional to 1,770.93, 2,444.19 and 1,024.77

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Solution

The fourth proportional to 1,770.93, 2,444.19 and 1,024.77 is: 1,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.93 : 2,444.19 = 1,024.77 : x
  2. Step 2: Convert to fraction form
    1,770.93/2,444.19 = 1,024.77/x
  3. Step 3: Cross multiply
    1,770.93x = 2,444.19 × 1,024.77
  4. Step 4: Simplify right side
    1,770.93x = 2,504,732.59
  5. Step 5: Solve for x
    x = 2,504,732.59/1,770.93
  6. Step 6: Final answer
    x = 1,414.36

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1.5x scale

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.