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Finding the Fourth Proportional to 3,074.60, 4,612.63 and 883.28

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Solution

The fourth proportional to 3,074.60, 4,612.63 and 883.28 is: 1,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.60 : 4,612.63 = 883.28 : x
  2. Step 2: Convert to fraction form
    3,074.60/4,612.63 = 883.28/x
  3. Step 3: Cross multiply
    3,074.60x = 4,612.63 × 883.28
  4. Step 4: Simplify right side
    3,074.60x = 4,074,243.83
  5. Step 5: Solve for x
    x = 4,074,243.83/3,074.60
  6. Step 6: Final answer
    x = 1,325.13

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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.