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Finding the Fourth Proportional to 1,879.49, 2,594.01 and 1,094.00

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Solution

The fourth proportional to 1,879.49, 2,594.01 and 1,094.00 is: 1,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.49 : 2,594.01 = 1,094.00 : x
  2. Step 2: Convert to fraction form
    1,879.49/2,594.01 = 1,094.00/x
  3. Step 3: Cross multiply
    1,879.49x = 2,594.01 × 1,094.00
  4. Step 4: Simplify right side
    1,879.49x = 2,837,833.97
  5. Step 5: Solve for x
    x = 2,837,833.97/1,879.49
  6. Step 6: Final answer
    x = 1,509.90

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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.