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Finding the Fourth Proportional to 1,752.63, 2,628.94 and 454.09

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Solution

The fourth proportional to 1,752.63, 2,628.94 and 454.09 is: 681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.63 : 2,628.94 = 454.09 : x
  2. Step 2: Convert to fraction form
    1,752.63/2,628.94 = 454.09/x
  3. Step 3: Cross multiply
    1,752.63x = 2,628.94 × 454.09
  4. Step 4: Simplify right side
    1,752.63x = 1,193,775.36
  5. Step 5: Solve for x
    x = 1,193,775.36/1,752.63
  6. Step 6: Final answer
    x = 681.13

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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.