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Finding the Fourth Proportional to 1,548.65, 2,137.12 and 840.48

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Solution

The fourth proportional to 1,548.65, 2,137.12 and 840.48 is: 1,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.65 : 2,137.12 = 840.48 : x
  2. Step 2: Convert to fraction form
    1,548.65/2,137.12 = 840.48/x
  3. Step 3: Cross multiply
    1,548.65x = 2,137.12 × 840.48
  4. Step 4: Simplify right side
    1,548.65x = 1,796,204.52
  5. Step 5: Solve for x
    x = 1,796,204.52/1,548.65
  6. Step 6: Final answer
    x = 1,159.85

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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.