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Finding the Fourth Proportional to 4,613.64, 6,920.82 and 1,492.50

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Solution

The fourth proportional to 4,613.64, 6,920.82 and 1,492.50 is: 2,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.64 : 6,920.82 = 1,492.50 : x
  2. Step 2: Convert to fraction form
    4,613.64/6,920.82 = 1,492.50/x
  3. Step 3: Cross multiply
    4,613.64x = 6,920.82 × 1,492.50
  4. Step 4: Simplify right side
    4,613.64x = 10,329,323.85
  5. Step 5: Solve for x
    x = 10,329,323.85/4,613.64
  6. Step 6: Final answer
    x = 2,238.87

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Why These Related Problems?

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