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Finding the Fourth Proportional to 2,970.20, 4,099.08 and 1,728.20

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Solution

The fourth proportional to 2,970.20, 4,099.08 and 1,728.20 is: 2,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.20 : 4,099.08 = 1,728.20 : x
  2. Step 2: Convert to fraction form
    2,970.20/4,099.08 = 1,728.20/x
  3. Step 3: Cross multiply
    2,970.20x = 4,099.08 × 1,728.20
  4. Step 4: Simplify right side
    2,970.20x = 7,084,030.06
  5. Step 5: Solve for x
    x = 7,084,030.06/2,970.20
  6. Step 6: Final answer
    x = 2,385.03

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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.