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Finding the Fourth Proportional to 1,409.81, 1,944.81 and 1,094.51

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Solution

The fourth proportional to 1,409.81, 1,944.81 and 1,094.51 is: 1,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.81 : 1,944.81 = 1,094.51 : x
  2. Step 2: Convert to fraction form
    1,409.81/1,944.81 = 1,094.51/x
  3. Step 3: Cross multiply
    1,409.81x = 1,944.81 × 1,094.51
  4. Step 4: Simplify right side
    1,409.81x = 2,128,618.86
  5. Step 5: Solve for x
    x = 2,128,618.86/1,409.81
  6. Step 6: Final answer
    x = 1,509.87

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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.