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Finding the Fourth Proportional to 1,837.76, 2,536.74 and 1,342.94

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Solution

The fourth proportional to 1,837.76, 2,536.74 and 1,342.94 is: 1,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.76 : 2,536.74 = 1,342.94 : x
  2. Step 2: Convert to fraction form
    1,837.76/2,536.74 = 1,342.94/x
  3. Step 3: Cross multiply
    1,837.76x = 2,536.74 × 1,342.94
  4. Step 4: Simplify right side
    1,837.76x = 3,406,676.93
  5. Step 5: Solve for x
    x = 3,406,676.93/1,837.76
  6. Step 6: Final answer
    x = 1,853.72

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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.