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Finding the Fourth Proportional to 2,285.95, 3,429.84 and 899.64

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Solution

The fourth proportional to 2,285.95, 3,429.84 and 899.64 is: 1,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.95 : 3,429.84 = 899.64 : x
  2. Step 2: Convert to fraction form
    2,285.95/3,429.84 = 899.64/x
  3. Step 3: Cross multiply
    2,285.95x = 3,429.84 × 899.64
  4. Step 4: Simplify right side
    2,285.95x = 3,085,621.26
  5. Step 5: Solve for x
    x = 3,085,621.26/2,285.95
  6. Step 6: Final answer
    x = 1,349.82

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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.