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Finding the Fourth Proportional to 1,874.84, 2,586.75 and 1,128.56

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Solution

The fourth proportional to 1,874.84, 2,586.75 and 1,128.56 is: 1,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.84 : 2,586.75 = 1,128.56 : x
  2. Step 2: Convert to fraction form
    1,874.84/2,586.75 = 1,128.56/x
  3. Step 3: Cross multiply
    1,874.84x = 2,586.75 × 1,128.56
  4. Step 4: Simplify right side
    1,874.84x = 2,919,302.58
  5. Step 5: Solve for x
    x = 2,919,302.58/1,874.84
  6. Step 6: Final answer
    x = 1,557.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.