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Finding the Fourth Proportional to 1,816.54, 2,505.92 and 1,417.48

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Solution

The fourth proportional to 1,816.54, 2,505.92 and 1,417.48 is: 1,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.54 : 2,505.92 = 1,417.48 : x
  2. Step 2: Convert to fraction form
    1,816.54/2,505.92 = 1,417.48/x
  3. Step 3: Cross multiply
    1,816.54x = 2,505.92 × 1,417.48
  4. Step 4: Simplify right side
    1,816.54x = 3,552,091.48
  5. Step 5: Solve for x
    x = 3,552,091.48/1,816.54
  6. Step 6: Final answer
    x = 1,955.42

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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.