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Finding the Fourth Proportional to 2,492.30, 3,737.14 and 848.34

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Solution

The fourth proportional to 2,492.30, 3,737.14 and 848.34 is: 1,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.30 : 3,737.14 = 848.34 : x
  2. Step 2: Convert to fraction form
    2,492.30/3,737.14 = 848.34/x
  3. Step 3: Cross multiply
    2,492.30x = 3,737.14 × 848.34
  4. Step 4: Simplify right side
    2,492.30x = 3,170,363.23
  5. Step 5: Solve for x
    x = 3,170,363.23/2,492.30
  6. Step 6: Final answer
    x = 1,272.06

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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.