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Finding the Fourth Proportional to 1,385.53, 2,076.01 and 1,242.63

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Solution

The fourth proportional to 1,385.53, 2,076.01 and 1,242.63 is: 1,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.53 : 2,076.01 = 1,242.63 : x
  2. Step 2: Convert to fraction form
    1,385.53/2,076.01 = 1,242.63/x
  3. Step 3: Cross multiply
    1,385.53x = 2,076.01 × 1,242.63
  4. Step 4: Simplify right side
    1,385.53x = 2,579,709.20
  5. Step 5: Solve for x
    x = 2,579,709.20/1,385.53
  6. Step 6: Final answer
    x = 1,861.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.