Home / 1,509.06-2,263.60-413.40

Finding the Fourth Proportional to 1,509.06, 2,263.60 and 413.40

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Solution

The fourth proportional to 1,509.06, 2,263.60 and 413.40 is: 620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.06 : 2,263.60 = 413.40 : x
  2. Step 2: Convert to fraction form
    1,509.06/2,263.60 = 413.40/x
  3. Step 3: Cross multiply
    1,509.06x = 2,263.60 × 413.40
  4. Step 4: Simplify right side
    1,509.06x = 935,772.24
  5. Step 5: Solve for x
    x = 935,772.24/1,509.06
  6. Step 6: Final answer
    x = 620.10

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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.