Home / 2,046.33-2,823.50-1,415.84

Finding the Fourth Proportional to 2,046.33, 2,823.50 and 1,415.84

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Solution

The fourth proportional to 2,046.33, 2,823.50 and 1,415.84 is: 1,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.33 : 2,823.50 = 1,415.84 : x
  2. Step 2: Convert to fraction form
    2,046.33/2,823.50 = 1,415.84/x
  3. Step 3: Cross multiply
    2,046.33x = 2,823.50 × 1,415.84
  4. Step 4: Simplify right side
    2,046.33x = 3,997,624.24
  5. Step 5: Solve for x
    x = 3,997,624.24/2,046.33
  6. Step 6: Final answer
    x = 1,953.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.