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Finding the Fourth Proportional to 2,594.94, 3,581.11 and 1,475.98

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Solution

The fourth proportional to 2,594.94, 3,581.11 and 1,475.98 is: 2,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.94 : 3,581.11 = 1,475.98 : x
  2. Step 2: Convert to fraction form
    2,594.94/3,581.11 = 1,475.98/x
  3. Step 3: Cross multiply
    2,594.94x = 3,581.11 × 1,475.98
  4. Step 4: Simplify right side
    2,594.94x = 5,285,639.63
  5. Step 5: Solve for x
    x = 5,285,639.63/2,594.94
  6. Step 6: Final answer
    x = 2,036.91

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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.