Home / 1,770.28-2,443.20-1,024.18

Finding the Fourth Proportional to 1,770.28, 2,443.20 and 1,024.18

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Solution

The fourth proportional to 1,770.28, 2,443.20 and 1,024.18 is: 1,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.28 : 2,443.20 = 1,024.18 : x
  2. Step 2: Convert to fraction form
    1,770.28/2,443.20 = 1,024.18/x
  3. Step 3: Cross multiply
    1,770.28x = 2,443.20 × 1,024.18
  4. Step 4: Simplify right side
    1,770.28x = 2,502,276.58
  5. Step 5: Solve for x
    x = 2,502,276.58/1,770.28
  6. Step 6: Final answer
    x = 1,413.49

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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.