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Finding the Fourth Proportional to 4,053.68, 6,080.58 and 1,132

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Solution

The fourth proportional to 4,053.68, 6,080.58 and 1,132 is: 1,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.68 : 6,080.58 = 1,132 : x
  2. Step 2: Convert to fraction form
    4,053.68/6,080.58 = 1,132/x
  3. Step 3: Cross multiply
    4,053.68x = 6,080.58 × 1,132
  4. Step 4: Simplify right side
    4,053.68x = 6,883,216.56
  5. Step 5: Solve for x
    x = 6,883,216.56/4,053.68
  6. Step 6: Final answer
    x = 1,698.02

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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.