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Finding the Fourth Proportional to 2,160.64, 3,242.88 and 1,007.04

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Solution

The fourth proportional to 2,160.64, 3,242.88 and 1,007.04 is: 1,511.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.64 : 3,242.88 = 1,007.04 : x
  2. Step 2: Convert to fraction form
    2,160.64/3,242.88 = 1,007.04/x
  3. Step 3: Cross multiply
    2,160.64x = 3,242.88 × 1,007.04
  4. Step 4: Simplify right side
    2,160.64x = 3,265,709.88
  5. Step 5: Solve for x
    x = 3,265,709.88/2,160.64
  6. Step 6: Final answer
    x = 1,511.45

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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.