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Finding the Fourth Proportional to 3,448.99, 5,172.76 and 983.15

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Solution

The fourth proportional to 3,448.99, 5,172.76 and 983.15 is: 1,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.99 : 5,172.76 = 983.15 : x
  2. Step 2: Convert to fraction form
    3,448.99/5,172.76 = 983.15/x
  3. Step 3: Cross multiply
    3,448.99x = 5,172.76 × 983.15
  4. Step 4: Simplify right side
    3,448.99x = 5,085,598.99
  5. Step 5: Solve for x
    x = 5,085,598.99/3,448.99
  6. Step 6: Final answer
    x = 1,474.52

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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.