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Finding the Fourth Proportional to 1,574.59, 2,173.71 and 1,219.72

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Solution

The fourth proportional to 1,574.59, 2,173.71 and 1,219.72 is: 1,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.59 : 2,173.71 = 1,219.72 : x
  2. Step 2: Convert to fraction form
    1,574.59/2,173.71 = 1,219.72/x
  3. Step 3: Cross multiply
    1,574.59x = 2,173.71 × 1,219.72
  4. Step 4: Simplify right side
    1,574.59x = 2,651,317.56
  5. Step 5: Solve for x
    x = 2,651,317.56/1,574.59
  6. Step 6: Final answer
    x = 1,683.81

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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.