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Finding the Fourth Proportional to 1,738.51, 2,607.69 and 505.89

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Solution

The fourth proportional to 1,738.51, 2,607.69 and 505.89 is: 758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.51 : 2,607.69 = 505.89 : x
  2. Step 2: Convert to fraction form
    1,738.51/2,607.69 = 505.89/x
  3. Step 3: Cross multiply
    1,738.51x = 2,607.69 × 505.89
  4. Step 4: Simplify right side
    1,738.51x = 1,319,201.76
  5. Step 5: Solve for x
    x = 1,319,201.76/1,738.51
  6. Step 6: Final answer
    x = 758.81

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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.