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Finding the Fourth Proportional to 2,333.64, 3,219.30 and 1,389

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Solution

The fourth proportional to 2,333.64, 3,219.30 and 1,389 is: 1,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.64 : 3,219.30 = 1,389 : x
  2. Step 2: Convert to fraction form
    2,333.64/3,219.30 = 1,389/x
  3. Step 3: Cross multiply
    2,333.64x = 3,219.30 × 1,389
  4. Step 4: Simplify right side
    2,333.64x = 4,471,607.70
  5. Step 5: Solve for x
    x = 4,471,607.70/2,333.64
  6. Step 6: Final answer
    x = 1,916.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.