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Finding the Fourth Proportional to 1,730.27, 2,595.02 and 690.08

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Solution

The fourth proportional to 1,730.27, 2,595.02 and 690.08 is: 1,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.27 : 2,595.02 = 690.08 : x
  2. Step 2: Convert to fraction form
    1,730.27/2,595.02 = 690.08/x
  3. Step 3: Cross multiply
    1,730.27x = 2,595.02 × 690.08
  4. Step 4: Simplify right side
    1,730.27x = 1,790,754.98
  5. Step 5: Solve for x
    x = 1,790,754.98/1,730.27
  6. Step 6: Final answer
    x = 1,034.96

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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.