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Finding the Fourth Proportional to 2,653.83, 3,980.75 and 1,094.72

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Solution

The fourth proportional to 2,653.83, 3,980.75 and 1,094.72 is: 1,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.83 : 3,980.75 = 1,094.72 : x
  2. Step 2: Convert to fraction form
    2,653.83/3,980.75 = 1,094.72/x
  3. Step 3: Cross multiply
    2,653.83x = 3,980.75 × 1,094.72
  4. Step 4: Simplify right side
    2,653.83x = 4,357,781.26
  5. Step 5: Solve for x
    x = 4,357,781.26/2,653.83
  6. Step 6: Final answer
    x = 1,642.07

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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.