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Finding the Fourth Proportional to 4,897.02, 7,352.82 and 1,981.02

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Solution

The fourth proportional to 4,897.02, 7,352.82 and 1,981.02 is: 2,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.02 : 7,352.82 = 1,981.02 : x
  2. Step 2: Convert to fraction form
    4,897.02/7,352.82 = 1,981.02/x
  3. Step 3: Cross multiply
    4,897.02x = 7,352.82 × 1,981.02
  4. Step 4: Simplify right side
    4,897.02x = 14,566,083.48
  5. Step 5: Solve for x
    x = 14,566,083.48/4,897.02
  6. Step 6: Final answer
    x = 2,974.48

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1.5x scale

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.