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Finding the Fourth Proportional to 1,885.27, 2,823.03 and 1,302.07

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Solution

The fourth proportional to 1,885.27, 2,823.03 and 1,302.07 is: 1,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.27 : 2,823.03 = 1,302.07 : x
  2. Step 2: Convert to fraction form
    1,885.27/2,823.03 = 1,302.07/x
  3. Step 3: Cross multiply
    1,885.27x = 2,823.03 × 1,302.07
  4. Step 4: Simplify right side
    1,885.27x = 3,675,782.67
  5. Step 5: Solve for x
    x = 3,675,782.67/1,885.27
  6. Step 6: Final answer
    x = 1,949.74

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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.