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Finding the Fourth Proportional to 1,754.06, 2,631.42 and 584.15

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Solution

The fourth proportional to 1,754.06, 2,631.42 and 584.15 is: 876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.06 : 2,631.42 = 584.15 : x
  2. Step 2: Convert to fraction form
    1,754.06/2,631.42 = 584.15/x
  3. Step 3: Cross multiply
    1,754.06x = 2,631.42 × 584.15
  4. Step 4: Simplify right side
    1,754.06x = 1,537,130.84
  5. Step 5: Solve for x
    x = 1,537,130.84/1,754.06
  6. Step 6: Final answer
    x = 876.33

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Why These Related Problems?

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