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Finding the Fourth Proportional to 2,169.17, 3,253.74 and 525.72

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Solution

The fourth proportional to 2,169.17, 3,253.74 and 525.72 is: 788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.17 : 3,253.74 = 525.72 : x
  2. Step 2: Convert to fraction form
    2,169.17/3,253.74 = 525.72/x
  3. Step 3: Cross multiply
    2,169.17x = 3,253.74 × 525.72
  4. Step 4: Simplify right side
    2,169.17x = 1,710,556.19
  5. Step 5: Solve for x
    x = 1,710,556.19/2,169.17
  6. Step 6: Final answer
    x = 788.58

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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.