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Finding the Fourth Proportional to 1,738.63, 2,607.19 and 506.01

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Solution

The fourth proportional to 1,738.63, 2,607.19 and 506.01 is: 758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.63 : 2,607.19 = 506.01 : x
  2. Step 2: Convert to fraction form
    1,738.63/2,607.19 = 506.01/x
  3. Step 3: Cross multiply
    1,738.63x = 2,607.19 × 506.01
  4. Step 4: Simplify right side
    1,738.63x = 1,319,272.72
  5. Step 5: Solve for x
    x = 1,319,272.72/1,738.63
  6. Step 6: Final answer
    x = 758.80

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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.