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Finding the Fourth Proportional to 3,054, 4,215.30 and 1,876.05

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Solution

The fourth proportional to 3,054, 4,215.30 and 1,876.05 is: 2,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054 : 4,215.30 = 1,876.05 : x
  2. Step 2: Convert to fraction form
    3,054/4,215.30 = 1,876.05/x
  3. Step 3: Cross multiply
    3,054x = 4,215.30 × 1,876.05
  4. Step 4: Simplify right side
    3,054x = 7,908,113.57
  5. Step 5: Solve for x
    x = 7,908,113.57/3,054
  6. Step 6: Final answer
    x = 2,589.43

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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.