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Finding the Fourth Proportional to 2,565.01, 3,524.33 and 2,040.13

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Solution

The fourth proportional to 2,565.01, 3,524.33 and 2,040.13 is: 2,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.01 : 3,524.33 = 2,040.13 : x
  2. Step 2: Convert to fraction form
    2,565.01/3,524.33 = 2,040.13/x
  3. Step 3: Cross multiply
    2,565.01x = 3,524.33 × 2,040.13
  4. Step 4: Simplify right side
    2,565.01x = 7,190,091.36
  5. Step 5: Solve for x
    x = 7,190,091.36/2,565.01
  6. Step 6: Final answer
    x = 2,803.14

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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.