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Finding the Fourth Proportional to 2,565.03, 3,854.76 and 1,525.22

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Solution

The fourth proportional to 2,565.03, 3,854.76 and 1,525.22 is: 2,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.03 : 3,854.76 = 1,525.22 : x
  2. Step 2: Convert to fraction form
    2,565.03/3,854.76 = 1,525.22/x
  3. Step 3: Cross multiply
    2,565.03x = 3,854.76 × 1,525.22
  4. Step 4: Simplify right side
    2,565.03x = 5,879,370.22
  5. Step 5: Solve for x
    x = 5,879,370.22/2,565.03
  6. Step 6: Final answer
    x = 2,292.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.