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Finding the Fourth Proportional to 3,415.80, 4,710.06 and 2,173.08

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Solution

The fourth proportional to 3,415.80, 4,710.06 and 2,173.08 is: 2,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.80 : 4,710.06 = 2,173.08 : x
  2. Step 2: Convert to fraction form
    3,415.80/4,710.06 = 2,173.08/x
  3. Step 3: Cross multiply
    3,415.80x = 4,710.06 × 2,173.08
  4. Step 4: Simplify right side
    3,415.80x = 10,235,337.18
  5. Step 5: Solve for x
    x = 10,235,337.18/3,415.80
  6. Step 6: Final answer
    x = 2,996.47

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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.