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Finding the Fourth Proportional to 1,525.86, 2,288.25 and 941.18

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Solution

The fourth proportional to 1,525.86, 2,288.25 and 941.18 is: 1,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.86 : 2,288.25 = 941.18 : x
  2. Step 2: Convert to fraction form
    1,525.86/2,288.25 = 941.18/x
  3. Step 3: Cross multiply
    1,525.86x = 2,288.25 × 941.18
  4. Step 4: Simplify right side
    1,525.86x = 2,153,643.69
  5. Step 5: Solve for x
    x = 2,153,643.69/1,525.86
  6. Step 6: Final answer
    x = 1,411.43

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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.