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Finding the Fourth Proportional to 2,594.85, 3,582.98 and 2,004.36

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Solution

The fourth proportional to 2,594.85, 3,582.98 and 2,004.36 is: 2,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.85 : 3,582.98 = 2,004.36 : x
  2. Step 2: Convert to fraction form
    2,594.85/3,582.98 = 2,004.36/x
  3. Step 3: Cross multiply
    2,594.85x = 3,582.98 × 2,004.36
  4. Step 4: Simplify right side
    2,594.85x = 7,181,581.79
  5. Step 5: Solve for x
    x = 7,181,581.79/2,594.85
  6. Step 6: Final answer
    x = 2,767.63

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