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Finding the Fourth Proportional to 2,391, 3,586.48 and 2,083.06

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Solution

The fourth proportional to 2,391, 3,586.48 and 2,083.06 is: 3,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391 : 3,586.48 = 2,083.06 : x
  2. Step 2: Convert to fraction form
    2,391/3,586.48 = 2,083.06/x
  3. Step 3: Cross multiply
    2,391x = 3,586.48 × 2,083.06
  4. Step 4: Simplify right side
    2,391x = 7,470,853.03
  5. Step 5: Solve for x
    x = 7,470,853.03/2,391
  6. Step 6: Final answer
    x = 3,124.57

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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.