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Finding the Fourth Proportional to 1,733.70, 2,600.49 and 435.16

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Solution

The fourth proportional to 1,733.70, 2,600.49 and 435.16 is: 652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.70 : 2,600.49 = 435.16 : x
  2. Step 2: Convert to fraction form
    1,733.70/2,600.49 = 435.16/x
  3. Step 3: Cross multiply
    1,733.70x = 2,600.49 × 435.16
  4. Step 4: Simplify right side
    1,733.70x = 1,131,616.23
  5. Step 5: Solve for x
    x = 1,131,616.23/1,733.70
  6. Step 6: Final answer
    x = 652.72

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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.