Home / 1,585.40-2,371.14-1,413.32

Finding the Fourth Proportional to 1,585.40, 2,371.14 and 1,413.32

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Solution

The fourth proportional to 1,585.40, 2,371.14 and 1,413.32 is: 2,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.40 : 2,371.14 = 1,413.32 : x
  2. Step 2: Convert to fraction form
    1,585.40/2,371.14 = 1,413.32/x
  3. Step 3: Cross multiply
    1,585.40x = 2,371.14 × 1,413.32
  4. Step 4: Simplify right side
    1,585.40x = 3,351,179.58
  5. Step 5: Solve for x
    x = 3,351,179.58/1,585.40
  6. Step 6: Final answer
    x = 2,113.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.