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Finding the Fourth Proportional to 1,970.02, 2,718.83 and 1,252.70

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Solution

The fourth proportional to 1,970.02, 2,718.83 and 1,252.70 is: 1,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.02 : 2,718.83 = 1,252.70 : x
  2. Step 2: Convert to fraction form
    1,970.02/2,718.83 = 1,252.70/x
  3. Step 3: Cross multiply
    1,970.02x = 2,718.83 × 1,252.70
  4. Step 4: Simplify right side
    1,970.02x = 3,405,878.07
  5. Step 5: Solve for x
    x = 3,405,878.07/1,970.02
  6. Step 6: Final answer
    x = 1,728.85

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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.