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Finding the Fourth Proportional to 2,196.78, 3,031.54 and 1,312.57

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Solution

The fourth proportional to 2,196.78, 3,031.54 and 1,312.57 is: 1,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.78 : 3,031.54 = 1,312.57 : x
  2. Step 2: Convert to fraction form
    2,196.78/3,031.54 = 1,312.57/x
  3. Step 3: Cross multiply
    2,196.78x = 3,031.54 × 1,312.57
  4. Step 4: Simplify right side
    2,196.78x = 3,979,108.46
  5. Step 5: Solve for x
    x = 3,979,108.46/2,196.78
  6. Step 6: Final answer
    x = 1,811.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.