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Finding the Fourth Proportional to 4,152.47, 6,231.80 and 1,688.99

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Solution

The fourth proportional to 4,152.47, 6,231.80 and 1,688.99 is: 2,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.47 : 6,231.80 = 1,688.99 : x
  2. Step 2: Convert to fraction form
    4,152.47/6,231.80 = 1,688.99/x
  3. Step 3: Cross multiply
    4,152.47x = 6,231.80 × 1,688.99
  4. Step 4: Simplify right side
    4,152.47x = 10,525,420.95
  5. Step 5: Solve for x
    x = 10,525,420.95/4,152.47
  6. Step 6: Final answer
    x = 2,534.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.