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Finding the Fourth Proportional to 3,296.46, 4,549.16 and 1,970.28

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Solution

The fourth proportional to 3,296.46, 4,549.16 and 1,970.28 is: 2,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.46 : 4,549.16 = 1,970.28 : x
  2. Step 2: Convert to fraction form
    3,296.46/4,549.16 = 1,970.28/x
  3. Step 3: Cross multiply
    3,296.46x = 4,549.16 × 1,970.28
  4. Step 4: Simplify right side
    3,296.46x = 8,963,118.96
  5. Step 5: Solve for x
    x = 8,963,118.96/3,296.46
  6. Step 6: Final answer
    x = 2,719.01

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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.