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Finding the Fourth Proportional to 2,698.94, 4,047.65 and 1,710.29

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Solution

The fourth proportional to 2,698.94, 4,047.65 and 1,710.29 is: 2,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.94 : 4,047.65 = 1,710.29 : x
  2. Step 2: Convert to fraction form
    2,698.94/4,047.65 = 1,710.29/x
  3. Step 3: Cross multiply
    2,698.94x = 4,047.65 × 1,710.29
  4. Step 4: Simplify right side
    2,698.94x = 6,922,626.53
  5. Step 5: Solve for x
    x = 6,922,626.53/2,698.94
  6. Step 6: Final answer
    x = 2,564.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.