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Finding the Fourth Proportional to 3,004.33, 4,506.14 and 924.33

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Solution

The fourth proportional to 3,004.33, 4,506.14 and 924.33 is: 1,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.33 : 4,506.14 = 924.33 : x
  2. Step 2: Convert to fraction form
    3,004.33/4,506.14 = 924.33/x
  3. Step 3: Cross multiply
    3,004.33x = 4,506.14 × 924.33
  4. Step 4: Simplify right side
    3,004.33x = 4,165,160.39
  5. Step 5: Solve for x
    x = 4,165,160.39/3,004.33
  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.