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Finding the Fourth Proportional to 1,536.78, 2,119.98 and 976.33

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Solution

The fourth proportional to 1,536.78, 2,119.98 and 976.33 is: 1,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.78 : 2,119.98 = 976.33 : x
  2. Step 2: Convert to fraction form
    1,536.78/2,119.98 = 976.33/x
  3. Step 3: Cross multiply
    1,536.78x = 2,119.98 × 976.33
  4. Step 4: Simplify right side
    1,536.78x = 2,069,800.07
  5. Step 5: Solve for x
    x = 2,069,800.07/1,536.78
  6. Step 6: Final answer
    x = 1,346.84

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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.