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Finding the Fourth Proportional to 1,744.63, 2,617.34 and 590.38

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Solution

The fourth proportional to 1,744.63, 2,617.34 and 590.38 is: 885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.63 : 2,617.34 = 590.38 : x
  2. Step 2: Convert to fraction form
    1,744.63/2,617.34 = 590.38/x
  3. Step 3: Cross multiply
    1,744.63x = 2,617.34 × 590.38
  4. Step 4: Simplify right side
    1,744.63x = 1,545,225.19
  5. Step 5: Solve for x
    x = 1,545,225.19/1,744.63
  6. Step 6: Final answer
    x = 885.70

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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.