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Finding the Fourth Proportional to 2,196.80, 3,031.52 and 1,312.64

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Solution

The fourth proportional to 2,196.80, 3,031.52 and 1,312.64 is: 1,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.80 : 3,031.52 = 1,312.64 : x
  2. Step 2: Convert to fraction form
    2,196.80/3,031.52 = 1,312.64/x
  3. Step 3: Cross multiply
    2,196.80x = 3,031.52 × 1,312.64
  4. Step 4: Simplify right side
    2,196.80x = 3,979,294.41
  5. Step 5: Solve for x
    x = 3,979,294.41/2,196.80
  6. Step 6: Final answer
    x = 1,811.40

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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.