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Finding the Fourth Proportional to 2,386.02, 3,578.49 and 847.02

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Solution

The fourth proportional to 2,386.02, 3,578.49 and 847.02 is: 1,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.02 : 3,578.49 = 847.02 : x
  2. Step 2: Convert to fraction form
    2,386.02/3,578.49 = 847.02/x
  3. Step 3: Cross multiply
    2,386.02x = 3,578.49 × 847.02
  4. Step 4: Simplify right side
    2,386.02x = 3,031,052.60
  5. Step 5: Solve for x
    x = 3,031,052.60/2,386.02
  6. Step 6: Final answer
    x = 1,270.34

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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.