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Finding the Fourth Proportional to 2,658.52, 3,984.36 and 2,328.67

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Solution

The fourth proportional to 2,658.52, 3,984.36 and 2,328.67 is: 3,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.52 : 3,984.36 = 2,328.67 : x
  2. Step 2: Convert to fraction form
    2,658.52/3,984.36 = 2,328.67/x
  3. Step 3: Cross multiply
    2,658.52x = 3,984.36 × 2,328.67
  4. Step 4: Simplify right side
    2,658.52x = 9,278,259.60
  5. Step 5: Solve for x
    x = 9,278,259.60/2,658.52
  6. Step 6: Final answer
    x = 3,490.01

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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.