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Finding the Fourth Proportional to 1,876.15, 2,824.62 and 1,658.03

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Solution

The fourth proportional to 1,876.15, 2,824.62 and 1,658.03 is: 2,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.15 : 2,824.62 = 1,658.03 : x
  2. Step 2: Convert to fraction form
    1,876.15/2,824.62 = 1,658.03/x
  3. Step 3: Cross multiply
    1,876.15x = 2,824.62 × 1,658.03
  4. Step 4: Simplify right side
    1,876.15x = 4,683,282.29
  5. Step 5: Solve for x
    x = 4,683,282.29/1,876.15
  6. Step 6: Final answer
    x = 2,496.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.