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Finding the Fourth Proportional to 2,822.40, 4,235.22 and 1,525.32

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Solution

The fourth proportional to 2,822.40, 4,235.22 and 1,525.32 is: 2,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.40 : 4,235.22 = 1,525.32 : x
  2. Step 2: Convert to fraction form
    2,822.40/4,235.22 = 1,525.32/x
  3. Step 3: Cross multiply
    2,822.40x = 4,235.22 × 1,525.32
  4. Step 4: Simplify right side
    2,822.40x = 6,460,065.77
  5. Step 5: Solve for x
    x = 6,460,065.77/2,822.40
  6. Step 6: Final answer
    x = 2,288.86

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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.