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Finding the Fourth Proportional to 3,297.04, 4,549.98 and 1,970.80

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Solution

The fourth proportional to 3,297.04, 4,549.98 and 1,970.80 is: 2,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.04 : 4,549.98 = 1,970.80 : x
  2. Step 2: Convert to fraction form
    3,297.04/4,549.98 = 1,970.80/x
  3. Step 3: Cross multiply
    3,297.04x = 4,549.98 × 1,970.80
  4. Step 4: Simplify right side
    3,297.04x = 8,967,100.58
  5. Step 5: Solve for x
    x = 8,967,100.58/3,297.04
  6. Step 6: Final answer
    x = 2,719.74

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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.