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Finding the Fourth Proportional to 2,141.64, 3,212.93 and 1,031.43

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Solution

The fourth proportional to 2,141.64, 3,212.93 and 1,031.43 is: 1,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.64 : 3,212.93 = 1,031.43 : x
  2. Step 2: Convert to fraction form
    2,141.64/3,212.93 = 1,031.43/x
  3. Step 3: Cross multiply
    2,141.64x = 3,212.93 × 1,031.43
  4. Step 4: Simplify right side
    2,141.64x = 3,313,927.02
  5. Step 5: Solve for x
    x = 3,313,927.02/2,141.64
  6. Step 6: Final answer
    x = 1,547.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.