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Finding the Fourth Proportional to 1,884.24, 2,827.32 and 730.32

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Solution

The fourth proportional to 1,884.24, 2,827.32 and 730.32 is: 1,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.24 : 2,827.32 = 730.32 : x
  2. Step 2: Convert to fraction form
    1,884.24/2,827.32 = 730.32/x
  3. Step 3: Cross multiply
    1,884.24x = 2,827.32 × 730.32
  4. Step 4: Simplify right side
    1,884.24x = 2,064,848.34
  5. Step 5: Solve for x
    x = 2,064,848.34/1,884.24
  6. Step 6: Final answer
    x = 1,095.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.