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Finding the Fourth Proportional to 1,789.32, 2,682.95 and 1,059.40

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Solution

The fourth proportional to 1,789.32, 2,682.95 and 1,059.40 is: 1,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.32 : 2,682.95 = 1,059.40 : x
  2. Step 2: Convert to fraction form
    1,789.32/2,682.95 = 1,059.40/x
  3. Step 3: Cross multiply
    1,789.32x = 2,682.95 × 1,059.40
  4. Step 4: Simplify right side
    1,789.32x = 2,842,325.81
  5. Step 5: Solve for x
    x = 2,842,325.81/1,789.32
  6. Step 6: Final answer
    x = 1,588.50

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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.