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Finding the Fourth Proportional to 1,885.14, 2,602.70 and 1,213.24

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Solution

The fourth proportional to 1,885.14, 2,602.70 and 1,213.24 is: 1,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.14 : 2,602.70 = 1,213.24 : x
  2. Step 2: Convert to fraction form
    1,885.14/2,602.70 = 1,213.24/x
  3. Step 3: Cross multiply
    1,885.14x = 2,602.70 × 1,213.24
  4. Step 4: Simplify right side
    1,885.14x = 3,157,693.68
  5. Step 5: Solve for x
    x = 3,157,693.68/1,885.14
  6. Step 6: Final answer
    x = 1,675.05

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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.