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Finding the Fourth Proportional to 1,538.83, 2,308.16 and 673.14

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Solution

The fourth proportional to 1,538.83, 2,308.16 and 673.14 is: 1,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.83 : 2,308.16 = 673.14 : x
  2. Step 2: Convert to fraction form
    1,538.83/2,308.16 = 673.14/x
  3. Step 3: Cross multiply
    1,538.83x = 2,308.16 × 673.14
  4. Step 4: Simplify right side
    1,538.83x = 1,553,714.82
  5. Step 5: Solve for x
    x = 1,553,714.82/1,538.83
  6. Step 6: Final answer
    x = 1,009.67

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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.