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Finding the Fourth Proportional to 2,059.64, 3,088.75 and 889.59

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Solution

The fourth proportional to 2,059.64, 3,088.75 and 889.59 is: 1,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.64 : 3,088.75 = 889.59 : x
  2. Step 2: Convert to fraction form
    2,059.64/3,088.75 = 889.59/x
  3. Step 3: Cross multiply
    2,059.64x = 3,088.75 × 889.59
  4. Step 4: Simplify right side
    2,059.64x = 2,747,721.11
  5. Step 5: Solve for x
    x = 2,747,721.11/2,059.64
  6. Step 6: Final answer
    x = 1,334.08

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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.