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Finding the Fourth Proportional to 1,733.66, 2,600.48 and 435.12

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Solution

The fourth proportional to 1,733.66, 2,600.48 and 435.12 is: 652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.66 : 2,600.48 = 435.12 : x
  2. Step 2: Convert to fraction form
    1,733.66/2,600.48 = 435.12/x
  3. Step 3: Cross multiply
    1,733.66x = 2,600.48 × 435.12
  4. Step 4: Simplify right side
    1,733.66x = 1,131,518.68
  5. Step 5: Solve for x
    x = 1,131,518.68/1,733.66
  6. Step 6: Final answer
    x = 652.68

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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.