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Finding the Fourth Proportional to 1,675.05, 2,502.67 and 1,617.63

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Solution

The fourth proportional to 1,675.05, 2,502.67 and 1,617.63 is: 2,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.05 : 2,502.67 = 1,617.63 : x
  2. Step 2: Convert to fraction form
    1,675.05/2,502.67 = 1,617.63/x
  3. Step 3: Cross multiply
    1,675.05x = 2,502.67 × 1,617.63
  4. Step 4: Simplify right side
    1,675.05x = 4,048,385.98
  5. Step 5: Solve for x
    x = 4,048,385.98/1,675.05
  6. Step 6: Final answer
    x = 2,416.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.