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Finding the Fourth Proportional to 2,197.01, 3,031.57 and 1,312.63

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Solution

The fourth proportional to 2,197.01, 3,031.57 and 1,312.63 is: 1,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.01 : 3,031.57 = 1,312.63 : x
  2. Step 2: Convert to fraction form
    2,197.01/3,031.57 = 1,312.63/x
  3. Step 3: Cross multiply
    2,197.01x = 3,031.57 × 1,312.63
  4. Step 4: Simplify right side
    2,197.01x = 3,979,329.73
  5. Step 5: Solve for x
    x = 3,979,329.73/2,197.01
  6. Step 6: Final answer
    x = 1,811.25

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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.