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Finding the Fourth Proportional to 1,270.02, 1,749.06 and 1,211.70

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Solution

The fourth proportional to 1,270.02, 1,749.06 and 1,211.70 is: 1,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.02 : 1,749.06 = 1,211.70 : x
  2. Step 2: Convert to fraction form
    1,270.02/1,749.06 = 1,211.70/x
  3. Step 3: Cross multiply
    1,270.02x = 1,749.06 × 1,211.70
  4. Step 4: Simplify right side
    1,270.02x = 2,119,336.00
  5. Step 5: Solve for x
    x = 2,119,336.00/1,270.02
  6. Step 6: Final answer
    x = 1,668.74

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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.