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Finding the Fourth Proportional to 2,823.37, 4,235.73 and 875.44

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Solution

The fourth proportional to 2,823.37, 4,235.73 and 875.44 is: 1,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.37 : 4,235.73 = 875.44 : x
  2. Step 2: Convert to fraction form
    2,823.37/4,235.73 = 875.44/x
  3. Step 3: Cross multiply
    2,823.37x = 4,235.73 × 875.44
  4. Step 4: Simplify right side
    2,823.37x = 3,708,127.47
  5. Step 5: Solve for x
    x = 3,708,127.47/2,823.37
  6. Step 6: Final answer
    x = 1,313.37

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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.