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Finding the Fourth Proportional to 1,969.34, 2,714.85 and 1,548

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Solution

The fourth proportional to 1,969.34, 2,714.85 and 1,548 is: 2,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.34 : 2,714.85 = 1,548 : x
  2. Step 2: Convert to fraction form
    1,969.34/2,714.85 = 1,548/x
  3. Step 3: Cross multiply
    1,969.34x = 2,714.85 × 1,548
  4. Step 4: Simplify right side
    1,969.34x = 4,202,587.80
  5. Step 5: Solve for x
    x = 4,202,587.80/1,969.34
  6. Step 6: Final answer
    x = 2,134.01

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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.