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Finding the Fourth Proportional to 1,935.36, 2,670 and 1,148.64

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Solution

The fourth proportional to 1,935.36, 2,670 and 1,148.64 is: 1,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.36 : 2,670 = 1,148.64 : x
  2. Step 2: Convert to fraction form
    1,935.36/2,670 = 1,148.64/x
  3. Step 3: Cross multiply
    1,935.36x = 2,670 × 1,148.64
  4. Step 4: Simplify right side
    1,935.36x = 3,066,868.80
  5. Step 5: Solve for x
    x = 3,066,868.80/1,935.36
  6. Step 6: Final answer
    x = 1,584.65

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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.