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Finding the Fourth Proportional to 1,492.30, 2,237.74 and 452.12

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Solution

The fourth proportional to 1,492.30, 2,237.74 and 452.12 is: 677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.30 : 2,237.74 = 452.12 : x
  2. Step 2: Convert to fraction form
    1,492.30/2,237.74 = 452.12/x
  3. Step 3: Cross multiply
    1,492.30x = 2,237.74 × 452.12
  4. Step 4: Simplify right side
    1,492.30x = 1,011,727.01
  5. Step 5: Solve for x
    x = 1,011,727.01/1,492.30
  6. Step 6: Final answer
    x = 677.96

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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.