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Finding the Fourth Proportional to 3,116.02, 4,673.94 and 924.80

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Solution

The fourth proportional to 3,116.02, 4,673.94 and 924.80 is: 1,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.02 : 4,673.94 = 924.80 : x
  2. Step 2: Convert to fraction form
    3,116.02/4,673.94 = 924.80/x
  3. Step 3: Cross multiply
    3,116.02x = 4,673.94 × 924.80
  4. Step 4: Simplify right side
    3,116.02x = 4,322,459.71
  5. Step 5: Solve for x
    x = 4,322,459.71/3,116.02
  6. Step 6: Final answer
    x = 1,387.17

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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.