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Finding the Fourth Proportional to 3,004.52, 4,506.62 and 924.52

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Solution

The fourth proportional to 3,004.52, 4,506.62 and 924.52 is: 1,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.52 : 4,506.62 = 924.52 : x
  2. Step 2: Convert to fraction form
    3,004.52/4,506.62 = 924.52/x
  3. Step 3: Cross multiply
    3,004.52x = 4,506.62 × 924.52
  4. Step 4: Simplify right side
    3,004.52x = 4,166,460.32
  5. Step 5: Solve for x
    x = 4,166,460.32/3,004.52
  6. Step 6: Final answer
    x = 1,386.73

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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.