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Finding the Fourth Proportional to 1,658.73, 2,482.85 and 1,102.34

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Solution

The fourth proportional to 1,658.73, 2,482.85 and 1,102.34 is: 1,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.73 : 2,482.85 = 1,102.34 : x
  2. Step 2: Convert to fraction form
    1,658.73/2,482.85 = 1,102.34/x
  3. Step 3: Cross multiply
    1,658.73x = 2,482.85 × 1,102.34
  4. Step 4: Simplify right side
    1,658.73x = 2,736,926.94
  5. Step 5: Solve for x
    x = 2,736,926.94/1,658.73
  6. Step 6: Final answer
    x = 1,650.01

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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.