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Finding the Fourth Proportional to 2,549.84, 3,802.30 and 2,374.60

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Solution

The fourth proportional to 2,549.84, 3,802.30 and 2,374.60 is: 3,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.84 : 3,802.30 = 2,374.60 : x
  2. Step 2: Convert to fraction form
    2,549.84/3,802.30 = 2,374.60/x
  3. Step 3: Cross multiply
    2,549.84x = 3,802.30 × 2,374.60
  4. Step 4: Simplify right side
    2,549.84x = 9,028,941.58
  5. Step 5: Solve for x
    x = 9,028,941.58/2,549.84
  6. Step 6: Final answer
    x = 3,540.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.