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Finding the Fourth Proportional to 1,673, 2,509.23 and 1,184.57

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Solution

The fourth proportional to 1,673, 2,509.23 and 1,184.57 is: 1,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673 : 2,509.23 = 1,184.57 : x
  2. Step 2: Convert to fraction form
    1,673/2,509.23 = 1,184.57/x
  3. Step 3: Cross multiply
    1,673x = 2,509.23 × 1,184.57
  4. Step 4: Simplify right side
    1,673x = 2,972,358.58
  5. Step 5: Solve for x
    x = 2,972,358.58/1,673
  6. Step 6: Final answer
    x = 1,776.66

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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.