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Finding the Fourth Proportional to 1,385.64, 2,076.03 and 1,356.48

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Solution

The fourth proportional to 1,385.64, 2,076.03 and 1,356.48 is: 2,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.64 : 2,076.03 = 1,356.48 : x
  2. Step 2: Convert to fraction form
    1,385.64/2,076.03 = 1,356.48/x
  3. Step 3: Cross multiply
    1,385.64x = 2,076.03 × 1,356.48
  4. Step 4: Simplify right side
    1,385.64x = 2,816,093.17
  5. Step 5: Solve for x
    x = 2,816,093.17/1,385.64
  6. Step 6: Final answer
    x = 2,032.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.