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Finding the Fourth Proportional to 2,364.19, 3,546.72 and 976.77

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Solution

The fourth proportional to 2,364.19, 3,546.72 and 976.77 is: 1,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.19 : 3,546.72 = 976.77 : x
  2. Step 2: Convert to fraction form
    2,364.19/3,546.72 = 976.77/x
  3. Step 3: Cross multiply
    2,364.19x = 3,546.72 × 976.77
  4. Step 4: Simplify right side
    2,364.19x = 3,464,329.69
  5. Step 5: Solve for x
    x = 3,464,329.69/2,364.19
  6. Step 6: Final answer
    x = 1,465.34

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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.