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Finding the Fourth Proportional to 1,256.51, 1,883.99 and 1,102.75

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Solution

The fourth proportional to 1,256.51, 1,883.99 and 1,102.75 is: 1,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.51 : 1,883.99 = 1,102.75 : x
  2. Step 2: Convert to fraction form
    1,256.51/1,883.99 = 1,102.75/x
  3. Step 3: Cross multiply
    1,256.51x = 1,883.99 × 1,102.75
  4. Step 4: Simplify right side
    1,256.51x = 2,077,568.02
  5. Step 5: Solve for x
    x = 2,077,568.02/1,256.51
  6. Step 6: Final answer
    x = 1,653.44

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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.