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Finding the Fourth Proportional to 1,744.93, 2,405.56 and 1,478.31

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Solution

The fourth proportional to 1,744.93, 2,405.56 and 1,478.31 is: 2,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.93 : 2,405.56 = 1,478.31 : x
  2. Step 2: Convert to fraction form
    1,744.93/2,405.56 = 1,478.31/x
  3. Step 3: Cross multiply
    1,744.93x = 2,405.56 × 1,478.31
  4. Step 4: Simplify right side
    1,744.93x = 3,556,163.40
  5. Step 5: Solve for x
    x = 3,556,163.40/1,744.93
  6. Step 6: Final answer
    x = 2,038.00

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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.