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Finding the Fourth Proportional to 1,807.43, 2,492.01 and 1,523.12

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Solution

The fourth proportional to 1,807.43, 2,492.01 and 1,523.12 is: 2,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.43 : 2,492.01 = 1,523.12 : x
  2. Step 2: Convert to fraction form
    1,807.43/2,492.01 = 1,523.12/x
  3. Step 3: Cross multiply
    1,807.43x = 2,492.01 × 1,523.12
  4. Step 4: Simplify right side
    1,807.43x = 3,795,636.50
  5. Step 5: Solve for x
    x = 3,795,636.50/1,807.43
  6. Step 6: Final answer
    x = 2,100.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.