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Finding the Fourth Proportional to 3,051.28, 4,574.18 and 1,406.48

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Solution

The fourth proportional to 3,051.28, 4,574.18 and 1,406.48 is: 2,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.28 : 4,574.18 = 1,406.48 : x
  2. Step 2: Convert to fraction form
    3,051.28/4,574.18 = 1,406.48/x
  3. Step 3: Cross multiply
    3,051.28x = 4,574.18 × 1,406.48
  4. Step 4: Simplify right side
    3,051.28x = 6,433,473.33
  5. Step 5: Solve for x
    x = 6,433,473.33/3,051.28
  6. Step 6: Final answer
    x = 2,108.45

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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.