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Finding the Fourth Proportional to 4,802.60, 7,202.70 and 1,840.40

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Solution

The fourth proportional to 4,802.60, 7,202.70 and 1,840.40 is: 2,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.60 : 7,202.70 = 1,840.40 : x
  2. Step 2: Convert to fraction form
    4,802.60/7,202.70 = 1,840.40/x
  3. Step 3: Cross multiply
    4,802.60x = 7,202.70 × 1,840.40
  4. Step 4: Simplify right side
    4,802.60x = 13,255,849.08
  5. Step 5: Solve for x
    x = 13,255,849.08/4,802.60
  6. Step 6: Final answer
    x = 2,760.14

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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.