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Finding the Fourth Proportional to 1,832.64, 2,748.42 and 895.00

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Solution

The fourth proportional to 1,832.64, 2,748.42 and 895.00 is: 1,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.64 : 2,748.42 = 895.00 : x
  2. Step 2: Convert to fraction form
    1,832.64/2,748.42 = 895.00/x
  3. Step 3: Cross multiply
    1,832.64x = 2,748.42 × 895.00
  4. Step 4: Simplify right side
    1,832.64x = 2,459,841.01
  5. Step 5: Solve for x
    x = 2,459,841.01/1,832.64
  6. Step 6: Final answer
    x = 1,342.24

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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.