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Finding the Fourth Proportional to 2,509.97, 3,465.23 and 1,671.84

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Solution

The fourth proportional to 2,509.97, 3,465.23 and 1,671.84 is: 2,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.97 : 3,465.23 = 1,671.84 : x
  2. Step 2: Convert to fraction form
    2,509.97/3,465.23 = 1,671.84/x
  3. Step 3: Cross multiply
    2,509.97x = 3,465.23 × 1,671.84
  4. Step 4: Simplify right side
    2,509.97x = 5,793,301.76
  5. Step 5: Solve for x
    x = 5,793,301.76/2,509.97
  6. Step 6: Final answer
    x = 2,308.12

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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.