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Finding the Fourth Proportional to 1,548.59, 2,137.03 and 840.45

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Solution

The fourth proportional to 1,548.59, 2,137.03 and 840.45 is: 1,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.59 : 2,137.03 = 840.45 : x
  2. Step 2: Convert to fraction form
    1,548.59/2,137.03 = 840.45/x
  3. Step 3: Cross multiply
    1,548.59x = 2,137.03 × 840.45
  4. Step 4: Simplify right side
    1,548.59x = 1,796,074.70
  5. Step 5: Solve for x
    x = 1,796,074.70/1,548.59
  6. Step 6: Final answer
    x = 1,159.82

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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.