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Finding the Fourth Proportional to 1,627.52, 2,440.80 and 1,367.60

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Solution

The fourth proportional to 1,627.52, 2,440.80 and 1,367.60 is: 2,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.52 : 2,440.80 = 1,367.60 : x
  2. Step 2: Convert to fraction form
    1,627.52/2,440.80 = 1,367.60/x
  3. Step 3: Cross multiply
    1,627.52x = 2,440.80 × 1,367.60
  4. Step 4: Simplify right side
    1,627.52x = 3,338,038.08
  5. Step 5: Solve for x
    x = 3,338,038.08/1,627.52
  6. Step 6: Final answer
    x = 2,051.00

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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.