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Finding the Fourth Proportional to 1,729.21, 2,590.37 and 803.51

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Solution

The fourth proportional to 1,729.21, 2,590.37 and 803.51 is: 1,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.21 : 2,590.37 = 803.51 : x
  2. Step 2: Convert to fraction form
    1,729.21/2,590.37 = 803.51/x
  3. Step 3: Cross multiply
    1,729.21x = 2,590.37 × 803.51
  4. Step 4: Simplify right side
    1,729.21x = 2,081,384.18
  5. Step 5: Solve for x
    x = 2,081,384.18/1,729.21
  6. Step 6: Final answer
    x = 1,203.67

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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.