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Finding the Fourth Proportional to 3,005.83, 4,148.79 and 1,827.69

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Solution

The fourth proportional to 3,005.83, 4,148.79 and 1,827.69 is: 2,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.83 : 4,148.79 = 1,827.69 : x
  2. Step 2: Convert to fraction form
    3,005.83/4,148.79 = 1,827.69/x
  3. Step 3: Cross multiply
    3,005.83x = 4,148.79 × 1,827.69
  4. Step 4: Simplify right side
    3,005.83x = 7,582,702.00
  5. Step 5: Solve for x
    x = 7,582,702.00/3,005.83
  6. Step 6: Final answer
    x = 2,522.66

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1.5x scale

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.