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Finding the Fourth Proportional to 1,505.92, 2,076.64 and 1,008.48

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Solution

The fourth proportional to 1,505.92, 2,076.64 and 1,008.48 is: 1,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.92 : 2,076.64 = 1,008.48 : x
  2. Step 2: Convert to fraction form
    1,505.92/2,076.64 = 1,008.48/x
  3. Step 3: Cross multiply
    1,505.92x = 2,076.64 × 1,008.48
  4. Step 4: Simplify right side
    1,505.92x = 2,094,249.91
  5. Step 5: Solve for x
    x = 2,094,249.91/1,505.92
  6. Step 6: Final answer
    x = 1,390.68

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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.