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Finding the Fourth Proportional to 3,085.95, 4,630.01 and 894.81

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Solution

The fourth proportional to 3,085.95, 4,630.01 and 894.81 is: 1,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.95 : 4,630.01 = 894.81 : x
  2. Step 2: Convert to fraction form
    3,085.95/4,630.01 = 894.81/x
  3. Step 3: Cross multiply
    3,085.95x = 4,630.01 × 894.81
  4. Step 4: Simplify right side
    3,085.95x = 4,142,974.77
  5. Step 5: Solve for x
    x = 4,142,974.77/3,085.95
  6. Step 6: Final answer
    x = 1,342.53

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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.