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Finding the Fourth Proportional to 1,730.15, 2,596.70 and 690.88

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Solution

The fourth proportional to 1,730.15, 2,596.70 and 690.88 is: 1,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.15 : 2,596.70 = 690.88 : x
  2. Step 2: Convert to fraction form
    1,730.15/2,596.70 = 690.88/x
  3. Step 3: Cross multiply
    1,730.15x = 2,596.70 × 690.88
  4. Step 4: Simplify right side
    1,730.15x = 1,794,003.34
  5. Step 5: Solve for x
    x = 1,794,003.34/1,730.15
  6. Step 6: Final answer
    x = 1,036.91

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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.