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Finding the Fourth Proportional to 1,684.58, 2,325.84 and 1,506.98

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Solution

The fourth proportional to 1,684.58, 2,325.84 and 1,506.98 is: 2,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.58 : 2,325.84 = 1,506.98 : x
  2. Step 2: Convert to fraction form
    1,684.58/2,325.84 = 1,506.98/x
  3. Step 3: Cross multiply
    1,684.58x = 2,325.84 × 1,506.98
  4. Step 4: Simplify right side
    1,684.58x = 3,504,994.36
  5. Step 5: Solve for x
    x = 3,504,994.36/1,684.58
  6. Step 6: Final answer
    x = 2,080.63

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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.