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Finding the Fourth Proportional to 2,152.32, 3,232.96 and 1,866.88

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Solution

The fourth proportional to 2,152.32, 3,232.96 and 1,866.88 is: 2,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.32 : 3,232.96 = 1,866.88 : x
  2. Step 2: Convert to fraction form
    2,152.32/3,232.96 = 1,866.88/x
  3. Step 3: Cross multiply
    2,152.32x = 3,232.96 × 1,866.88
  4. Step 4: Simplify right side
    2,152.32x = 6,035,548.36
  5. Step 5: Solve for x
    x = 6,035,548.36/2,152.32
  6. Step 6: Final answer
    x = 2,804.21

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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.