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Finding the Fourth Proportional to 1,730.36, 2,387.50 and 1,671.08

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Solution

The fourth proportional to 1,730.36, 2,387.50 and 1,671.08 is: 2,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.36 : 2,387.50 = 1,671.08 : x
  2. Step 2: Convert to fraction form
    1,730.36/2,387.50 = 1,671.08/x
  3. Step 3: Cross multiply
    1,730.36x = 2,387.50 × 1,671.08
  4. Step 4: Simplify right side
    1,730.36x = 3,989,687.38
  5. Step 5: Solve for x
    x = 3,989,687.38/1,730.36
  6. Step 6: Final answer
    x = 2,305.70

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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.