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Finding the Fourth Proportional to 2,071.64, 2,859.47 and 1,364.01

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Solution

The fourth proportional to 2,071.64, 2,859.47 and 1,364.01 is: 1,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.64 : 2,859.47 = 1,364.01 : x
  2. Step 2: Convert to fraction form
    2,071.64/2,859.47 = 1,364.01/x
  3. Step 3: Cross multiply
    2,071.64x = 2,859.47 × 1,364.01
  4. Step 4: Simplify right side
    2,071.64x = 3,900,333.25
  5. Step 5: Solve for x
    x = 3,900,333.25/2,071.64
  6. Step 6: Final answer
    x = 1,882.73

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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.