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Finding the Fourth Proportional to 3,114.12, 4,670.94 and 924.27

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Solution

The fourth proportional to 3,114.12, 4,670.94 and 924.27 is: 1,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.12 : 4,670.94 = 924.27 : x
  2. Step 2: Convert to fraction form
    3,114.12/4,670.94 = 924.27/x
  3. Step 3: Cross multiply
    3,114.12x = 4,670.94 × 924.27
  4. Step 4: Simplify right side
    3,114.12x = 4,317,209.71
  5. Step 5: Solve for x
    x = 4,317,209.71/3,114.12
  6. Step 6: Final answer
    x = 1,386.33

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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.