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Finding the Fourth Proportional to 2,035.14, 3,050.40 and 802.32

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Solution

The fourth proportional to 2,035.14, 3,050.40 and 802.32 is: 1,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.14 : 3,050.40 = 802.32 : x
  2. Step 2: Convert to fraction form
    2,035.14/3,050.40 = 802.32/x
  3. Step 3: Cross multiply
    2,035.14x = 3,050.40 × 802.32
  4. Step 4: Simplify right side
    2,035.14x = 2,447,396.93
  5. Step 5: Solve for x
    x = 2,447,396.93/2,035.14
  6. Step 6: Final answer
    x = 1,202.57

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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.