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Finding the Fourth Proportional to 3,116.58, 4,673.46 and 924.54

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Solution

The fourth proportional to 3,116.58, 4,673.46 and 924.54 is: 1,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.58 : 4,673.46 = 924.54 : x
  2. Step 2: Convert to fraction form
    3,116.58/4,673.46 = 924.54/x
  3. Step 3: Cross multiply
    3,116.58x = 4,673.46 × 924.54
  4. Step 4: Simplify right side
    3,116.58x = 4,320,800.71
  5. Step 5: Solve for x
    x = 4,320,800.71/3,116.58
  6. Step 6: Final answer
    x = 1,386.39

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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.