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Finding the Fourth Proportional to 1,782.64, 2,683.87 and 1,544.50

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Solution

The fourth proportional to 1,782.64, 2,683.87 and 1,544.50 is: 2,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.64 : 2,683.87 = 1,544.50 : x
  2. Step 2: Convert to fraction form
    1,782.64/2,683.87 = 1,544.50/x
  3. Step 3: Cross multiply
    1,782.64x = 2,683.87 × 1,544.50
  4. Step 4: Simplify right side
    1,782.64x = 4,145,237.22
  5. Step 5: Solve for x
    x = 4,145,237.22/1,782.64
  6. Step 6: Final answer
    x = 2,325.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.