Home / 1,770.12-2,442.78-1,024.29

Finding the Fourth Proportional to 1,770.12, 2,442.78 and 1,024.29

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Solution

The fourth proportional to 1,770.12, 2,442.78 and 1,024.29 is: 1,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.12 : 2,442.78 = 1,024.29 : x
  2. Step 2: Convert to fraction form
    1,770.12/2,442.78 = 1,024.29/x
  3. Step 3: Cross multiply
    1,770.12x = 2,442.78 × 1,024.29
  4. Step 4: Simplify right side
    1,770.12x = 2,502,115.13
  5. Step 5: Solve for x
    x = 2,502,115.13/1,770.12
  6. Step 6: Final answer
    x = 1,413.53

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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.