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Finding the Fourth Proportional to 2,476.34, 3,415.02 and 1,679.78

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Solution

The fourth proportional to 2,476.34, 3,415.02 and 1,679.78 is: 2,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.34 : 3,415.02 = 1,679.78 : x
  2. Step 2: Convert to fraction form
    2,476.34/3,415.02 = 1,679.78/x
  3. Step 3: Cross multiply
    2,476.34x = 3,415.02 × 1,679.78
  4. Step 4: Simplify right side
    2,476.34x = 5,736,482.30
  5. Step 5: Solve for x
    x = 5,736,482.30/2,476.34
  6. Step 6: Final answer
    x = 2,316.52

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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.