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Finding the Fourth Proportional to 2,588.58, 3,574.35 and 1,706.10

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Solution

The fourth proportional to 2,588.58, 3,574.35 and 1,706.10 is: 2,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.58 : 3,574.35 = 1,706.10 : x
  2. Step 2: Convert to fraction form
    2,588.58/3,574.35 = 1,706.10/x
  3. Step 3: Cross multiply
    2,588.58x = 3,574.35 × 1,706.10
  4. Step 4: Simplify right side
    2,588.58x = 6,098,198.54
  5. Step 5: Solve for x
    x = 6,098,198.54/2,588.58
  6. Step 6: Final answer
    x = 2,355.81

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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.