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Finding the Fourth Proportional to 2,382.64, 3,572.88 and 1,548.88

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Solution

The fourth proportional to 2,382.64, 3,572.88 and 1,548.88 is: 2,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.64 : 3,572.88 = 1,548.88 : x
  2. Step 2: Convert to fraction form
    2,382.64/3,572.88 = 1,548.88/x
  3. Step 3: Cross multiply
    2,382.64x = 3,572.88 × 1,548.88
  4. Step 4: Simplify right side
    2,382.64x = 5,533,947.63
  5. Step 5: Solve for x
    x = 5,533,947.63/2,382.64
  6. Step 6: Final answer
    x = 2,322.61

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Why These Related Problems?

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