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Finding the Fourth Proportional to 2,152.34, 3,228.90 and 691.50

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Solution

The fourth proportional to 2,152.34, 3,228.90 and 691.50 is: 1,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.34 : 3,228.90 = 691.50 : x
  2. Step 2: Convert to fraction form
    2,152.34/3,228.90 = 691.50/x
  3. Step 3: Cross multiply
    2,152.34x = 3,228.90 × 691.50
  4. Step 4: Simplify right side
    2,152.34x = 2,232,784.35
  5. Step 5: Solve for x
    x = 2,232,784.35/2,152.34
  6. Step 6: Final answer
    x = 1,037.38

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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.