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Finding the Fourth Proportional to 2,657.74, 3,665.17 and 2,027.16

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Solution

The fourth proportional to 2,657.74, 3,665.17 and 2,027.16 is: 2,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.74 : 3,665.17 = 2,027.16 : x
  2. Step 2: Convert to fraction form
    2,657.74/3,665.17 = 2,027.16/x
  3. Step 3: Cross multiply
    2,657.74x = 3,665.17 × 2,027.16
  4. Step 4: Simplify right side
    2,657.74x = 7,429,886.02
  5. Step 5: Solve for x
    x = 7,429,886.02/2,657.74
  6. Step 6: Final answer
    x = 2,795.57

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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.