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Finding the Fourth Proportional to 2,670.75, 3,685.64 and 1,492.07

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Solution

The fourth proportional to 2,670.75, 3,685.64 and 1,492.07 is: 2,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.75 : 3,685.64 = 1,492.07 : x
  2. Step 2: Convert to fraction form
    2,670.75/3,685.64 = 1,492.07/x
  3. Step 3: Cross multiply
    2,670.75x = 3,685.64 × 1,492.07
  4. Step 4: Simplify right side
    2,670.75x = 5,499,206.99
  5. Step 5: Solve for x
    x = 5,499,206.99/2,670.75
  6. Step 6: Final answer
    x = 2,059.05

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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.