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Finding the Fourth Proportional to 2,802.58, 4,203.88 and 1,261.78

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Solution

The fourth proportional to 2,802.58, 4,203.88 and 1,261.78 is: 1,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.58 : 4,203.88 = 1,261.78 : x
  2. Step 2: Convert to fraction form
    2,802.58/4,203.88 = 1,261.78/x
  3. Step 3: Cross multiply
    2,802.58x = 4,203.88 × 1,261.78
  4. Step 4: Simplify right side
    2,802.58x = 5,304,371.71
  5. Step 5: Solve for x
    x = 5,304,371.71/2,802.58
  6. Step 6: Final answer
    x = 1,892.67

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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.