Home / 1,509.46-2,263.04-815.70

Finding the Fourth Proportional to 1,509.46, 2,263.04 and 815.70

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Solution

The fourth proportional to 1,509.46, 2,263.04 and 815.70 is: 1,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.46 : 2,263.04 = 815.70 : x
  2. Step 2: Convert to fraction form
    1,509.46/2,263.04 = 815.70/x
  3. Step 3: Cross multiply
    1,509.46x = 2,263.04 × 815.70
  4. Step 4: Simplify right side
    1,509.46x = 1,845,961.73
  5. Step 5: Solve for x
    x = 1,845,961.73/1,509.46
  6. Step 6: Final answer
    x = 1,222.93

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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.