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Finding the Fourth Proportional to 2,148.04, 2,964.47 and 1,204.04

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Solution

The fourth proportional to 2,148.04, 2,964.47 and 1,204.04 is: 1,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.04 : 2,964.47 = 1,204.04 : x
  2. Step 2: Convert to fraction form
    2,148.04/2,964.47 = 1,204.04/x
  3. Step 3: Cross multiply
    2,148.04x = 2,964.47 × 1,204.04
  4. Step 4: Simplify right side
    2,148.04x = 3,569,340.46
  5. Step 5: Solve for x
    x = 3,569,340.46/2,148.04
  6. Step 6: Final answer
    x = 1,661.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.