Home / 1,413.82-2,112.10-1,125.58

Finding the Fourth Proportional to 1,413.82, 2,112.10 and 1,125.58

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Solution

The fourth proportional to 1,413.82, 2,112.10 and 1,125.58 is: 1,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.82 : 2,112.10 = 1,125.58 : x
  2. Step 2: Convert to fraction form
    1,413.82/2,112.10 = 1,125.58/x
  3. Step 3: Cross multiply
    1,413.82x = 2,112.10 × 1,125.58
  4. Step 4: Simplify right side
    1,413.82x = 2,377,337.52
  5. Step 5: Solve for x
    x = 2,377,337.52/1,413.82
  6. Step 6: Final answer
    x = 1,681.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.