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Finding the Fourth Proportional to 1,406.93, 1,943.54 and 1,016.00

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Solution

The fourth proportional to 1,406.93, 1,943.54 and 1,016.00 is: 1,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.93 : 1,943.54 = 1,016.00 : x
  2. Step 2: Convert to fraction form
    1,406.93/1,943.54 = 1,016.00/x
  3. Step 3: Cross multiply
    1,406.93x = 1,943.54 × 1,016.00
  4. Step 4: Simplify right side
    1,406.93x = 1,974,621.84
  5. Step 5: Solve for x
    x = 1,974,621.84/1,406.93
  6. Step 6: Final answer
    x = 1,403.50

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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.