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Finding the Fourth Proportional to 2,492.08, 3,730.13 and 1,657.22

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Solution

The fourth proportional to 2,492.08, 3,730.13 and 1,657.22 is: 2,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.08 : 3,730.13 = 1,657.22 : x
  2. Step 2: Convert to fraction form
    2,492.08/3,730.13 = 1,657.22/x
  3. Step 3: Cross multiply
    2,492.08x = 3,730.13 × 1,657.22
  4. Step 4: Simplify right side
    2,492.08x = 6,181,619.10
  5. Step 5: Solve for x
    x = 6,181,619.10/2,492.08
  6. Step 6: Final answer
    x = 2,480.51

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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.