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Finding the Fourth Proportional to 1,663.40, 2,492.40 and 1,566.20

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Solution

The fourth proportional to 1,663.40, 2,492.40 and 1,566.20 is: 2,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.40 : 2,492.40 = 1,566.20 : x
  2. Step 2: Convert to fraction form
    1,663.40/2,492.40 = 1,566.20/x
  3. Step 3: Cross multiply
    1,663.40x = 2,492.40 × 1,566.20
  4. Step 4: Simplify right side
    1,663.40x = 3,903,596.88
  5. Step 5: Solve for x
    x = 3,903,596.88/1,663.40
  6. Step 6: Final answer
    x = 2,346.76

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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.