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Finding the Fourth Proportional to 2,544.01, 3,816.99 and 983.58

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Solution

The fourth proportional to 2,544.01, 3,816.99 and 983.58 is: 1,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.01 : 3,816.99 = 983.58 : x
  2. Step 2: Convert to fraction form
    2,544.01/3,816.99 = 983.58/x
  3. Step 3: Cross multiply
    2,544.01x = 3,816.99 × 983.58
  4. Step 4: Simplify right side
    2,544.01x = 3,754,315.02
  5. Step 5: Solve for x
    x = 3,754,315.02/2,544.01
  6. Step 6: Final answer
    x = 1,475.75

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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.