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Finding the Fourth Proportional to 2,812.76, 3,881.62 and 1,570.76

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Solution

The fourth proportional to 2,812.76, 3,881.62 and 1,570.76 is: 2,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.76 : 3,881.62 = 1,570.76 : x
  2. Step 2: Convert to fraction form
    2,812.76/3,881.62 = 1,570.76/x
  3. Step 3: Cross multiply
    2,812.76x = 3,881.62 × 1,570.76
  4. Step 4: Simplify right side
    2,812.76x = 6,097,093.43
  5. Step 5: Solve for x
    x = 6,097,093.43/2,812.76
  6. Step 6: Final answer
    x = 2,167.66

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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.