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Finding the Fourth Proportional to 2,059.24, 3,088.86 and 964.83

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Solution

The fourth proportional to 2,059.24, 3,088.86 and 964.83 is: 1,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.24 : 3,088.86 = 964.83 : x
  2. Step 2: Convert to fraction form
    2,059.24/3,088.86 = 964.83/x
  3. Step 3: Cross multiply
    2,059.24x = 3,088.86 × 964.83
  4. Step 4: Simplify right side
    2,059.24x = 2,980,224.79
  5. Step 5: Solve for x
    x = 2,980,224.79/2,059.24
  6. Step 6: Final answer
    x = 1,447.25

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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.