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Finding the Fourth Proportional to 1,752.11, 2,628.65 and 764.74

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Solution

The fourth proportional to 1,752.11, 2,628.65 and 764.74 is: 1,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.11 : 2,628.65 = 764.74 : x
  2. Step 2: Convert to fraction form
    1,752.11/2,628.65 = 764.74/x
  3. Step 3: Cross multiply
    1,752.11x = 2,628.65 × 764.74
  4. Step 4: Simplify right side
    1,752.11x = 2,010,223.41
  5. Step 5: Solve for x
    x = 2,010,223.41/1,752.11
  6. Step 6: Final answer
    x = 1,147.32

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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.