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Finding the Fourth Proportional to 1,684.81, 2,526.03 and 747.24

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Solution

The fourth proportional to 1,684.81, 2,526.03 and 747.24 is: 1,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.81 : 2,526.03 = 747.24 : x
  2. Step 2: Convert to fraction form
    1,684.81/2,526.03 = 747.24/x
  3. Step 3: Cross multiply
    1,684.81x = 2,526.03 × 747.24
  4. Step 4: Simplify right side
    1,684.81x = 1,887,550.66
  5. Step 5: Solve for x
    x = 1,887,550.66/1,684.81
  6. Step 6: Final answer
    x = 1,120.34

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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.