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Finding the Fourth Proportional to 3,004.85, 4,507.18 and 924.77

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Solution

The fourth proportional to 3,004.85, 4,507.18 and 924.77 is: 1,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.85 : 4,507.18 = 924.77 : x
  2. Step 2: Convert to fraction form
    3,004.85/4,507.18 = 924.77/x
  3. Step 3: Cross multiply
    3,004.85x = 4,507.18 × 924.77
  4. Step 4: Simplify right side
    3,004.85x = 4,168,104.85
  5. Step 5: Solve for x
    x = 4,168,104.85/3,004.85
  6. Step 6: Final answer
    x = 1,387.13

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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.