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Finding the Fourth Proportional to 3,415.85, 4,715.65 and 2,302.64

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Solution

The fourth proportional to 3,415.85, 4,715.65 and 2,302.64 is: 3,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.85 : 4,715.65 = 2,302.64 : x
  2. Step 2: Convert to fraction form
    3,415.85/4,715.65 = 2,302.64/x
  3. Step 3: Cross multiply
    3,415.85x = 4,715.65 × 2,302.64
  4. Step 4: Simplify right side
    3,415.85x = 10,858,444.32
  5. Step 5: Solve for x
    x = 10,858,444.32/3,415.85
  6. Step 6: Final answer
    x = 3,178.84

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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.