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Finding the Fourth Proportional to 3,116.22, 4,674.47 and 924.90

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Solution

The fourth proportional to 3,116.22, 4,674.47 and 924.90 is: 1,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.22 : 4,674.47 = 924.90 : x
  2. Step 2: Convert to fraction form
    3,116.22/4,674.47 = 924.90/x
  3. Step 3: Cross multiply
    3,116.22x = 4,674.47 × 924.90
  4. Step 4: Simplify right side
    3,116.22x = 4,323,412.68
  5. Step 5: Solve for x
    x = 4,323,412.68/3,116.22
  6. Step 6: Final answer
    x = 1,387.39

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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.