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Finding the Fourth Proportional to 1,841.34, 2,536.74 and 1,507.82

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Solution

The fourth proportional to 1,841.34, 2,536.74 and 1,507.82 is: 2,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.34 : 2,536.74 = 1,507.82 : x
  2. Step 2: Convert to fraction form
    1,841.34/2,536.74 = 1,507.82/x
  3. Step 3: Cross multiply
    1,841.34x = 2,536.74 × 1,507.82
  4. Step 4: Simplify right side
    1,841.34x = 3,824,947.31
  5. Step 5: Solve for x
    x = 3,824,947.31/1,841.34
  6. Step 6: Final answer
    x = 2,077.26

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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.