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Finding the Fourth Proportional to 1,835.78, 2,536.65 and 1,365.57

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Solution

The fourth proportional to 1,835.78, 2,536.65 and 1,365.57 is: 1,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.78 : 2,536.65 = 1,365.57 : x
  2. Step 2: Convert to fraction form
    1,835.78/2,536.65 = 1,365.57/x
  3. Step 3: Cross multiply
    1,835.78x = 2,536.65 × 1,365.57
  4. Step 4: Simplify right side
    1,835.78x = 3,463,976.55
  5. Step 5: Solve for x
    x = 3,463,976.55/1,835.78
  6. Step 6: Final answer
    x = 1,886.93

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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.