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Finding the Fourth Proportional to 1,808.14, 2,492.22 and 1,740.10

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Solution

The fourth proportional to 1,808.14, 2,492.22 and 1,740.10 is: 2,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.14 : 2,492.22 = 1,740.10 : x
  2. Step 2: Convert to fraction form
    1,808.14/2,492.22 = 1,740.10/x
  3. Step 3: Cross multiply
    1,808.14x = 2,492.22 × 1,740.10
  4. Step 4: Simplify right side
    1,808.14x = 4,336,712.02
  5. Step 5: Solve for x
    x = 4,336,712.02/1,808.14
  6. Step 6: Final answer
    x = 2,398.44

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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.