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Finding the Fourth Proportional to 1,964.64, 2,708.06 and 1,490.99

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Solution

The fourth proportional to 1,964.64, 2,708.06 and 1,490.99 is: 2,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.64 : 2,708.06 = 1,490.99 : x
  2. Step 2: Convert to fraction form
    1,964.64/2,708.06 = 1,490.99/x
  3. Step 3: Cross multiply
    1,964.64x = 2,708.06 × 1,490.99
  4. Step 4: Simplify right side
    1,964.64x = 4,037,689.69
  5. Step 5: Solve for x
    x = 4,037,689.69/1,964.64
  6. Step 6: Final answer
    x = 2,055.18

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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.