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Finding the Fourth Proportional to 1,936.64, 2,670.36 and 1,470.08

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Solution

The fourth proportional to 1,936.64, 2,670.36 and 1,470.08 is: 2,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.64 : 2,670.36 = 1,470.08 : x
  2. Step 2: Convert to fraction form
    1,936.64/2,670.36 = 1,470.08/x
  3. Step 3: Cross multiply
    1,936.64x = 2,670.36 × 1,470.08
  4. Step 4: Simplify right side
    1,936.64x = 3,925,642.83
  5. Step 5: Solve for x
    x = 3,925,642.83/1,936.64
  6. Step 6: Final answer
    x = 2,027.04

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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.