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Finding the Fourth Proportional to 2,870.07, 4,304.43 and 921.75

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Solution

The fourth proportional to 2,870.07, 4,304.43 and 921.75 is: 1,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.07 : 4,304.43 = 921.75 : x
  2. Step 2: Convert to fraction form
    2,870.07/4,304.43 = 921.75/x
  3. Step 3: Cross multiply
    2,870.07x = 4,304.43 × 921.75
  4. Step 4: Simplify right side
    2,870.07x = 3,967,608.35
  5. Step 5: Solve for x
    x = 3,967,608.35/2,870.07
  6. Step 6: Final answer
    x = 1,382.41

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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.