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Finding the Fourth Proportional to 4,234.60, 6,352.80 and 1,637.50

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Solution

The fourth proportional to 4,234.60, 6,352.80 and 1,637.50 is: 2,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.60 : 6,352.80 = 1,637.50 : x
  2. Step 2: Convert to fraction form
    4,234.60/6,352.80 = 1,637.50/x
  3. Step 3: Cross multiply
    4,234.60x = 6,352.80 × 1,637.50
  4. Step 4: Simplify right side
    4,234.60x = 10,402,710
  5. Step 5: Solve for x
    x = 10,402,710/4,234.60
  6. Step 6: Final answer
    x = 2,456.60

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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.