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Finding the Fourth Proportional to 3,076, 4,245.42 and 2,030.20

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Solution

The fourth proportional to 3,076, 4,245.42 and 2,030.20 is: 2,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076 : 4,245.42 = 2,030.20 : x
  2. Step 2: Convert to fraction form
    3,076/4,245.42 = 2,030.20/x
  3. Step 3: Cross multiply
    3,076x = 4,245.42 × 2,030.20
  4. Step 4: Simplify right side
    3,076x = 8,619,051.68
  5. Step 5: Solve for x
    x = 8,619,051.68/3,076
  6. Step 6: Final answer
    x = 2,802.03

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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.