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Finding the Fourth Proportional to 3,130.64, 4,699.80 and 1,981.20

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Solution

The fourth proportional to 3,130.64, 4,699.80 and 1,981.20 is: 2,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.64 : 4,699.80 = 1,981.20 : x
  2. Step 2: Convert to fraction form
    3,130.64/4,699.80 = 1,981.20/x
  3. Step 3: Cross multiply
    3,130.64x = 4,699.80 × 1,981.20
  4. Step 4: Simplify right side
    3,130.64x = 9,311,243.76
  5. Step 5: Solve for x
    x = 9,311,243.76/3,130.64
  6. Step 6: Final answer
    x = 2,974.23

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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.