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Finding the Fourth Proportional to 1,735.20, 2,602.80 and 1,641.60

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Solution

The fourth proportional to 1,735.20, 2,602.80 and 1,641.60 is: 2,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.20 : 2,602.80 = 1,641.60 : x
  2. Step 2: Convert to fraction form
    1,735.20/2,602.80 = 1,641.60/x
  3. Step 3: Cross multiply
    1,735.20x = 2,602.80 × 1,641.60
  4. Step 4: Simplify right side
    1,735.20x = 4,272,756.48
  5. Step 5: Solve for x
    x = 4,272,756.48/1,735.20
  6. Step 6: Final answer
    x = 2,462.40

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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.