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Finding the Fourth Proportional to 1,673.14, 2,509.77 and 440.67

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Solution

The fourth proportional to 1,673.14, 2,509.77 and 440.67 is: 661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.14 : 2,509.77 = 440.67 : x
  2. Step 2: Convert to fraction form
    1,673.14/2,509.77 = 440.67/x
  3. Step 3: Cross multiply
    1,673.14x = 2,509.77 × 440.67
  4. Step 4: Simplify right side
    1,673.14x = 1,105,978.14
  5. Step 5: Solve for x
    x = 1,105,978.14/1,673.14
  6. Step 6: Final answer
    x = 661.02

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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.