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Finding the Fourth Proportional to 2,605.09, 3,595.00 and 1,410.05

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Solution

The fourth proportional to 2,605.09, 3,595.00 and 1,410.05 is: 1,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.09 : 3,595.00 = 1,410.05 : x
  2. Step 2: Convert to fraction form
    2,605.09/3,595.00 = 1,410.05/x
  3. Step 3: Cross multiply
    2,605.09x = 3,595.00 × 1,410.05
  4. Step 4: Simplify right side
    2,605.09x = 5,069,122.70
  5. Step 5: Solve for x
    x = 5,069,122.70/2,605.09
  6. Step 6: Final answer
    x = 1,945.85

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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.