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Finding the Fourth Proportional to 2,329.66, 3,495 and 1,096.40

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Solution

The fourth proportional to 2,329.66, 3,495 and 1,096.40 is: 1,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.66 : 3,495 = 1,096.40 : x
  2. Step 2: Convert to fraction form
    2,329.66/3,495 = 1,096.40/x
  3. Step 3: Cross multiply
    2,329.66x = 3,495 × 1,096.40
  4. Step 4: Simplify right side
    2,329.66x = 3,831,918.00
  5. Step 5: Solve for x
    x = 3,831,918.00/2,329.66
  6. Step 6: Final answer
    x = 1,644.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.