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Finding the Fourth Proportional to 1,621.83, 2,432.76 and 581.88

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Solution

The fourth proportional to 1,621.83, 2,432.76 and 581.88 is: 872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.83 : 2,432.76 = 581.88 : x
  2. Step 2: Convert to fraction form
    1,621.83/2,432.76 = 581.88/x
  3. Step 3: Cross multiply
    1,621.83x = 2,432.76 × 581.88
  4. Step 4: Simplify right side
    1,621.83x = 1,415,574.39
  5. Step 5: Solve for x
    x = 1,415,574.39/1,621.83
  6. Step 6: Final answer
    x = 872.83

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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.