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Finding the Fourth Proportional to 1,749.91, 2,624.52 and 871.51

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Solution

The fourth proportional to 1,749.91, 2,624.52 and 871.51 is: 1,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.91 : 2,624.52 = 871.51 : x
  2. Step 2: Convert to fraction form
    1,749.91/2,624.52 = 871.51/x
  3. Step 3: Cross multiply
    1,749.91x = 2,624.52 × 871.51
  4. Step 4: Simplify right side
    1,749.91x = 2,287,295.43
  5. Step 5: Solve for x
    x = 2,287,295.43/1,749.91
  6. Step 6: Final answer
    x = 1,307.09

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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.