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Finding the Fourth Proportional to 2,143.86, 3,215.79 and 583.86

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Solution

The fourth proportional to 2,143.86, 3,215.79 and 583.86 is: 875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.86 : 3,215.79 = 583.86 : x
  2. Step 2: Convert to fraction form
    2,143.86/3,215.79 = 583.86/x
  3. Step 3: Cross multiply
    2,143.86x = 3,215.79 × 583.86
  4. Step 4: Simplify right side
    2,143.86x = 1,877,586.50
  5. Step 5: Solve for x
    x = 1,877,586.50/2,143.86
  6. Step 6: Final answer
    x = 875.80

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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.