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Finding the Fourth Proportional to 2,752.51, 4,128.58 and 804.55

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Solution

The fourth proportional to 2,752.51, 4,128.58 and 804.55 is: 1,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.51 : 4,128.58 = 804.55 : x
  2. Step 2: Convert to fraction form
    2,752.51/4,128.58 = 804.55/x
  3. Step 3: Cross multiply
    2,752.51x = 4,128.58 × 804.55
  4. Step 4: Simplify right side
    2,752.51x = 3,321,649.04
  5. Step 5: Solve for x
    x = 3,321,649.04/2,752.51
  6. Step 6: Final answer
    x = 1,206.77

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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.