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Finding the Fourth Proportional to 3,116.47, 4,673.90 and 924.61

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Solution

The fourth proportional to 3,116.47, 4,673.90 and 924.61 is: 1,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.47 : 4,673.90 = 924.61 : x
  2. Step 2: Convert to fraction form
    3,116.47/4,673.90 = 924.61/x
  3. Step 3: Cross multiply
    3,116.47x = 4,673.90 × 924.61
  4. Step 4: Simplify right side
    3,116.47x = 4,321,530.06
  5. Step 5: Solve for x
    x = 4,321,530.06/3,116.47
  6. Step 6: Final answer
    x = 1,386.67

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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.