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Finding the Fourth Proportional to 3,252.69, 4,875.12 and 1,690.47

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Solution

The fourth proportional to 3,252.69, 4,875.12 and 1,690.47 is: 2,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.69 : 4,875.12 = 1,690.47 : x
  2. Step 2: Convert to fraction form
    3,252.69/4,875.12 = 1,690.47/x
  3. Step 3: Cross multiply
    3,252.69x = 4,875.12 × 1,690.47
  4. Step 4: Simplify right side
    3,252.69x = 8,241,244.11
  5. Step 5: Solve for x
    x = 8,241,244.11/3,252.69
  6. Step 6: Final answer
    x = 2,533.67

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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.