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Finding the Fourth Proportional to 3,005.94, 4,148.37 and 1,827.12

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Solution

The fourth proportional to 3,005.94, 4,148.37 and 1,827.12 is: 2,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.94 : 4,148.37 = 1,827.12 : x
  2. Step 2: Convert to fraction form
    3,005.94/4,148.37 = 1,827.12/x
  3. Step 3: Cross multiply
    3,005.94x = 4,148.37 × 1,827.12
  4. Step 4: Simplify right side
    3,005.94x = 7,579,569.79
  5. Step 5: Solve for x
    x = 7,579,569.79/3,005.94
  6. Step 6: Final answer
    x = 2,521.53

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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.