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Finding the Fourth Proportional to 1,837.64, 2,536.16 and 1,051.94

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Solution

The fourth proportional to 1,837.64, 2,536.16 and 1,051.94 is: 1,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.64 : 2,536.16 = 1,051.94 : x
  2. Step 2: Convert to fraction form
    1,837.64/2,536.16 = 1,051.94/x
  3. Step 3: Cross multiply
    1,837.64x = 2,536.16 × 1,051.94
  4. Step 4: Simplify right side
    1,837.64x = 2,667,870.21
  5. Step 5: Solve for x
    x = 2,667,870.21/1,837.64
  6. Step 6: Final answer
    x = 1,451.80

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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.