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Finding the Fourth Proportional to 2,968.98, 4,097.50 and 1,710.08

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Solution

The fourth proportional to 2,968.98, 4,097.50 and 1,710.08 is: 2,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.98 : 4,097.50 = 1,710.08 : x
  2. Step 2: Convert to fraction form
    2,968.98/4,097.50 = 1,710.08/x
  3. Step 3: Cross multiply
    2,968.98x = 4,097.50 × 1,710.08
  4. Step 4: Simplify right side
    2,968.98x = 7,007,052.80
  5. Step 5: Solve for x
    x = 7,007,052.80/2,968.98
  6. Step 6: Final answer
    x = 2,360.09

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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.