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Finding the Fourth Proportional to 1,484.37, 2,048.15 and 894.95

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Solution

The fourth proportional to 1,484.37, 2,048.15 and 894.95 is: 1,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.37 : 2,048.15 = 894.95 : x
  2. Step 2: Convert to fraction form
    1,484.37/2,048.15 = 894.95/x
  3. Step 3: Cross multiply
    1,484.37x = 2,048.15 × 894.95
  4. Step 4: Simplify right side
    1,484.37x = 1,832,991.84
  5. Step 5: Solve for x
    x = 1,832,991.84/1,484.37
  6. Step 6: Final answer
    x = 1,234.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.