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Finding the Fourth Proportional to 2,595.07, 3,580.41 and 1,600.62

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Solution

The fourth proportional to 2,595.07, 3,580.41 and 1,600.62 is: 2,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.07 : 3,580.41 = 1,600.62 : x
  2. Step 2: Convert to fraction form
    2,595.07/3,580.41 = 1,600.62/x
  3. Step 3: Cross multiply
    2,595.07x = 3,580.41 × 1,600.62
  4. Step 4: Simplify right side
    2,595.07x = 5,730,875.85
  5. Step 5: Solve for x
    x = 5,730,875.85/2,595.07
  6. Step 6: Final answer
    x = 2,208.37

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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.