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Finding the Fourth Proportional to 3,004.86, 4,507.80 and 924.81

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Solution

The fourth proportional to 3,004.86, 4,507.80 and 924.81 is: 1,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.86 : 4,507.80 = 924.81 : x
  2. Step 2: Convert to fraction form
    3,004.86/4,507.80 = 924.81/x
  3. Step 3: Cross multiply
    3,004.86x = 4,507.80 × 924.81
  4. Step 4: Simplify right side
    3,004.86x = 4,168,858.52
  5. Step 5: Solve for x
    x = 4,168,858.52/3,004.86
  6. Step 6: Final answer
    x = 1,387.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.