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Finding the Fourth Proportional to 1,544.72, 2,317.16 and 1,138.64

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Solution

The fourth proportional to 1,544.72, 2,317.16 and 1,138.64 is: 1,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.72 : 2,317.16 = 1,138.64 : x
  2. Step 2: Convert to fraction form
    1,544.72/2,317.16 = 1,138.64/x
  3. Step 3: Cross multiply
    1,544.72x = 2,317.16 × 1,138.64
  4. Step 4: Simplify right side
    1,544.72x = 2,638,411.06
  5. Step 5: Solve for x
    x = 2,638,411.06/1,544.72
  6. Step 6: Final answer
    x = 1,708.02

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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.