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Finding the Fourth Proportional to 1,924.72, 2,656.13 and 1,127.86

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Solution

The fourth proportional to 1,924.72, 2,656.13 and 1,127.86 is: 1,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.72 : 2,656.13 = 1,127.86 : x
  2. Step 2: Convert to fraction form
    1,924.72/2,656.13 = 1,127.86/x
  3. Step 3: Cross multiply
    1,924.72x = 2,656.13 × 1,127.86
  4. Step 4: Simplify right side
    1,924.72x = 2,995,742.78
  5. Step 5: Solve for x
    x = 2,995,742.78/1,924.72
  6. Step 6: Final answer
    x = 1,556.46

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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.