Home / 1,584.58-2,377.62-999.46

Finding the Fourth Proportional to 1,584.58, 2,377.62 and 999.46

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Solution

The fourth proportional to 1,584.58, 2,377.62 and 999.46 is: 1,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.58 : 2,377.62 = 999.46 : x
  2. Step 2: Convert to fraction form
    1,584.58/2,377.62 = 999.46/x
  3. Step 3: Cross multiply
    1,584.58x = 2,377.62 × 999.46
  4. Step 4: Simplify right side
    1,584.58x = 2,376,336.09
  5. Step 5: Solve for x
    x = 2,376,336.09/1,584.58
  6. Step 6: Final answer
    x = 1,499.66

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1.5x scale

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.