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Finding the Fourth Proportional to 1,874.44, 2,586.74 and 1,035.18

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Solution

The fourth proportional to 1,874.44, 2,586.74 and 1,035.18 is: 1,428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.44 : 2,586.74 = 1,035.18 : x
  2. Step 2: Convert to fraction form
    1,874.44/2,586.74 = 1,035.18/x
  3. Step 3: Cross multiply
    1,874.44x = 2,586.74 × 1,035.18
  4. Step 4: Simplify right side
    1,874.44x = 2,677,741.51
  5. Step 5: Solve for x
    x = 2,677,741.51/1,874.44
  6. Step 6: Final answer
    x = 1,428.56

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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.