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Finding the Fourth Proportional to 1,640.68, 2,259.30 and 1,465.96

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Solution

The fourth proportional to 1,640.68, 2,259.30 and 1,465.96 is: 2,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.68 : 2,259.30 = 1,465.96 : x
  2. Step 2: Convert to fraction form
    1,640.68/2,259.30 = 1,465.96/x
  3. Step 3: Cross multiply
    1,640.68x = 2,259.30 × 1,465.96
  4. Step 4: Simplify right side
    1,640.68x = 3,312,043.43
  5. Step 5: Solve for x
    x = 3,312,043.43/1,640.68
  6. Step 6: Final answer
    x = 2,018.70

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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.