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Finding the Fourth Proportional to 2,348.80, 3,240.08 and 1,602.80

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Solution

The fourth proportional to 2,348.80, 3,240.08 and 1,602.80 is: 2,211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.80 : 3,240.08 = 1,602.80 : x
  2. Step 2: Convert to fraction form
    2,348.80/3,240.08 = 1,602.80/x
  3. Step 3: Cross multiply
    2,348.80x = 3,240.08 × 1,602.80
  4. Step 4: Simplify right side
    2,348.80x = 5,193,200.22
  5. Step 5: Solve for x
    x = 5,193,200.22/2,348.80
  6. Step 6: Final answer
    x = 2,211.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.