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Finding the Fourth Proportional to 3,120.73, 4,681.85 and 929.63

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Solution

The fourth proportional to 3,120.73, 4,681.85 and 929.63 is: 1,394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.73 : 4,681.85 = 929.63 : x
  2. Step 2: Convert to fraction form
    3,120.73/4,681.85 = 929.63/x
  3. Step 3: Cross multiply
    3,120.73x = 4,681.85 × 929.63
  4. Step 4: Simplify right side
    3,120.73x = 4,352,374.17
  5. Step 5: Solve for x
    x = 4,352,374.17/3,120.73
  6. Step 6: Final answer
    x = 1,394.67

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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.