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Finding the Fourth Proportional to 3,116.40, 4,673.26 and 924.54

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Solution

The fourth proportional to 3,116.40, 4,673.26 and 924.54 is: 1,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.40 : 4,673.26 = 924.54 : x
  2. Step 2: Convert to fraction form
    3,116.40/4,673.26 = 924.54/x
  3. Step 3: Cross multiply
    3,116.40x = 4,673.26 × 924.54
  4. Step 4: Simplify right side
    3,116.40x = 4,320,615.80
  5. Step 5: Solve for x
    x = 4,320,615.80/3,116.40
  6. Step 6: Final answer
    x = 1,386.41

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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.