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Finding the Fourth Proportional to 2,296.84, 3,442.14 and 1,474.68

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Solution

The fourth proportional to 2,296.84, 3,442.14 and 1,474.68 is: 2,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.84 : 3,442.14 = 1,474.68 : x
  2. Step 2: Convert to fraction form
    2,296.84/3,442.14 = 1,474.68/x
  3. Step 3: Cross multiply
    2,296.84x = 3,442.14 × 1,474.68
  4. Step 4: Simplify right side
    2,296.84x = 5,076,055.02
  5. Step 5: Solve for x
    x = 5,076,055.02/2,296.84
  6. Step 6: Final answer
    x = 2,210.02

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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.