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Finding the Fourth Proportional to 1,508, 2,085.12 and 1,196.96

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Solution

The fourth proportional to 1,508, 2,085.12 and 1,196.96 is: 1,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508 : 2,085.12 = 1,196.96 : x
  2. Step 2: Convert to fraction form
    1,508/2,085.12 = 1,196.96/x
  3. Step 3: Cross multiply
    1,508x = 2,085.12 × 1,196.96
  4. Step 4: Simplify right side
    1,508x = 2,495,805.24
  5. Step 5: Solve for x
    x = 2,495,805.24/1,508
  6. Step 6: Final answer
    x = 1,655.04

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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.