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Finding the Fourth Proportional to 3,051.76, 4,574.57 and 1,202.16

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Solution

The fourth proportional to 3,051.76, 4,574.57 and 1,202.16 is: 1,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.76 : 4,574.57 = 1,202.16 : x
  2. Step 2: Convert to fraction form
    3,051.76/4,574.57 = 1,202.16/x
  3. Step 3: Cross multiply
    3,051.76x = 4,574.57 × 1,202.16
  4. Step 4: Simplify right side
    3,051.76x = 5,499,365.07
  5. Step 5: Solve for x
    x = 5,499,365.07/3,051.76
  6. Step 6: Final answer
    x = 1,802.03

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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.