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Finding the Fourth Proportional to 1,536.07, 2,119.74 and 837.44

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Solution

The fourth proportional to 1,536.07, 2,119.74 and 837.44 is: 1,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.07 : 2,119.74 = 837.44 : x
  2. Step 2: Convert to fraction form
    1,536.07/2,119.74 = 837.44/x
  3. Step 3: Cross multiply
    1,536.07x = 2,119.74 × 837.44
  4. Step 4: Simplify right side
    1,536.07x = 1,775,155.07
  5. Step 5: Solve for x
    x = 1,775,155.07/1,536.07
  6. Step 6: Final answer
    x = 1,155.65

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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.