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Finding the Fourth Proportional to 2,565.99, 3,525.68 and 2,041.11

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Solution

The fourth proportional to 2,565.99, 3,525.68 and 2,041.11 is: 2,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.99 : 3,525.68 = 2,041.11 : x
  2. Step 2: Convert to fraction form
    2,565.99/3,525.68 = 2,041.11/x
  3. Step 3: Cross multiply
    2,565.99x = 3,525.68 × 2,041.11
  4. Step 4: Simplify right side
    2,565.99x = 7,196,290.50
  5. Step 5: Solve for x
    x = 7,196,290.50/2,565.99
  6. Step 6: Final answer
    x = 2,804.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.