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Finding the Fourth Proportional to 2,492.02, 3,737.28 and 848.19

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Solution

The fourth proportional to 2,492.02, 3,737.28 and 848.19 is: 1,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.02 : 3,737.28 = 848.19 : x
  2. Step 2: Convert to fraction form
    2,492.02/3,737.28 = 848.19/x
  3. Step 3: Cross multiply
    2,492.02x = 3,737.28 × 848.19
  4. Step 4: Simplify right side
    2,492.02x = 3,169,923.52
  5. Step 5: Solve for x
    x = 3,169,923.52/2,492.02
  6. Step 6: Final answer
    x = 1,272.03

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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.