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Finding the Fourth Proportional to 3,004.78, 4,507.59 and 924.95

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Solution

The fourth proportional to 3,004.78, 4,507.59 and 924.95 is: 1,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.78 : 4,507.59 = 924.95 : x
  2. Step 2: Convert to fraction form
    3,004.78/4,507.59 = 924.95/x
  3. Step 3: Cross multiply
    3,004.78x = 4,507.59 × 924.95
  4. Step 4: Simplify right side
    3,004.78x = 4,169,295.37
  5. Step 5: Solve for x
    x = 4,169,295.37/3,004.78
  6. Step 6: Final answer
    x = 1,387.56

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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.