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Finding the Fourth Proportional to 2,376.03, 3,564.18 and 914.97

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Solution

The fourth proportional to 2,376.03, 3,564.18 and 914.97 is: 1,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.03 : 3,564.18 = 914.97 : x
  2. Step 2: Convert to fraction form
    2,376.03/3,564.18 = 914.97/x
  3. Step 3: Cross multiply
    2,376.03x = 3,564.18 × 914.97
  4. Step 4: Simplify right side
    2,376.03x = 3,261,117.77
  5. Step 5: Solve for x
    x = 3,261,117.77/2,376.03
  6. Step 6: Final answer
    x = 1,372.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.