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Finding the Fourth Proportional to 2,969.19, 4,097.57 and 1,710.65

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Solution

The fourth proportional to 2,969.19, 4,097.57 and 1,710.65 is: 2,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.19 : 4,097.57 = 1,710.65 : x
  2. Step 2: Convert to fraction form
    2,969.19/4,097.57 = 1,710.65/x
  3. Step 3: Cross multiply
    2,969.19x = 4,097.57 × 1,710.65
  4. Step 4: Simplify right side
    2,969.19x = 7,009,508.12
  5. Step 5: Solve for x
    x = 7,009,508.12/2,969.19
  6. Step 6: Final answer
    x = 2,360.75

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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.