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Finding the Fourth Proportional to 2,572.63, 3,856.66 and 928.82

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Solution

The fourth proportional to 2,572.63, 3,856.66 and 928.82 is: 1,392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.63 : 3,856.66 = 928.82 : x
  2. Step 2: Convert to fraction form
    2,572.63/3,856.66 = 928.82/x
  3. Step 3: Cross multiply
    2,572.63x = 3,856.66 × 928.82
  4. Step 4: Simplify right side
    2,572.63x = 3,582,121.34
  5. Step 5: Solve for x
    x = 3,582,121.34/2,572.63
  6. Step 6: Final answer
    x = 1,392.40

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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.