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Finding the Fourth Proportional to 3,071.64, 4,238.78 and 1,812.78

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Solution

The fourth proportional to 3,071.64, 4,238.78 and 1,812.78 is: 2,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.64 : 4,238.78 = 1,812.78 : x
  2. Step 2: Convert to fraction form
    3,071.64/4,238.78 = 1,812.78/x
  3. Step 3: Cross multiply
    3,071.64x = 4,238.78 × 1,812.78
  4. Step 4: Simplify right side
    3,071.64x = 7,683,966.54
  5. Step 5: Solve for x
    x = 7,683,966.54/3,071.64
  6. Step 6: Final answer
    x = 2,501.58

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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.