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Finding the Fourth Proportional to 1,868.37, 2,578.76 and 1,463.79

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Solution

The fourth proportional to 1,868.37, 2,578.76 and 1,463.79 is: 2,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.37 : 2,578.76 = 1,463.79 : x
  2. Step 2: Convert to fraction form
    1,868.37/2,578.76 = 1,463.79/x
  3. Step 3: Cross multiply
    1,868.37x = 2,578.76 × 1,463.79
  4. Step 4: Simplify right side
    1,868.37x = 3,774,763.10
  5. Step 5: Solve for x
    x = 3,774,763.10/1,868.37
  6. Step 6: Final answer
    x = 2,020.35

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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.