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Finding the Fourth Proportional to 2,574.24, 3,554 and 1,868.40

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Solution

The fourth proportional to 2,574.24, 3,554 and 1,868.40 is: 2,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.24 : 3,554 = 1,868.40 : x
  2. Step 2: Convert to fraction form
    2,574.24/3,554 = 1,868.40/x
  3. Step 3: Cross multiply
    2,574.24x = 3,554 × 1,868.40
  4. Step 4: Simplify right side
    2,574.24x = 6,640,293.60
  5. Step 5: Solve for x
    x = 6,640,293.60/2,574.24
  6. Step 6: Final answer
    x = 2,579.52

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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.