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Finding the Fourth Proportional to 1,503.04, 2,254.08 and 845.92

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Solution

The fourth proportional to 1,503.04, 2,254.08 and 845.92 is: 1,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.04 : 2,254.08 = 845.92 : x
  2. Step 2: Convert to fraction form
    1,503.04/2,254.08 = 845.92/x
  3. Step 3: Cross multiply
    1,503.04x = 2,254.08 × 845.92
  4. Step 4: Simplify right side
    1,503.04x = 1,906,771.35
  5. Step 5: Solve for x
    x = 1,906,771.35/1,503.04
  6. Step 6: Final answer
    x = 1,268.61

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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.