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Finding the Fourth Proportional to 2,383.93, 3,575.02 and 823.53

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Solution

The fourth proportional to 2,383.93, 3,575.02 and 823.53 is: 1,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.93 : 3,575.02 = 823.53 : x
  2. Step 2: Convert to fraction form
    2,383.93/3,575.02 = 823.53/x
  3. Step 3: Cross multiply
    2,383.93x = 3,575.02 × 823.53
  4. Step 4: Simplify right side
    2,383.93x = 2,944,143.10
  5. Step 5: Solve for x
    x = 2,944,143.10/2,383.93
  6. Step 6: Final answer
    x = 1,235.00

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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.