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Finding the Fourth Proportional to 1,878.48, 2,585.49 and 1,730.85

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Solution

The fourth proportional to 1,878.48, 2,585.49 and 1,730.85 is: 2,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.48 : 2,585.49 = 1,730.85 : x
  2. Step 2: Convert to fraction form
    1,878.48/2,585.49 = 1,730.85/x
  3. Step 3: Cross multiply
    1,878.48x = 2,585.49 × 1,730.85
  4. Step 4: Simplify right side
    1,878.48x = 4,475,095.37
  5. Step 5: Solve for x
    x = 4,475,095.37/1,878.48
  6. Step 6: Final answer
    x = 2,382.30

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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.