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Finding the Fourth Proportional to 1,976.06, 2,960.46 and 1,358.06

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Solution

The fourth proportional to 1,976.06, 2,960.46 and 1,358.06 is: 2,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.06 : 2,960.46 = 1,358.06 : x
  2. Step 2: Convert to fraction form
    1,976.06/2,960.46 = 1,358.06/x
  3. Step 3: Cross multiply
    1,976.06x = 2,960.46 × 1,358.06
  4. Step 4: Simplify right side
    1,976.06x = 4,020,482.31
  5. Step 5: Solve for x
    x = 4,020,482.31/1,976.06
  6. Step 6: Final answer
    x = 2,034.60

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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.