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Finding the Fourth Proportional to 1,493.66, 2,060.70 and 969.50

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Solution

The fourth proportional to 1,493.66, 2,060.70 and 969.50 is: 1,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.66 : 2,060.70 = 969.50 : x
  2. Step 2: Convert to fraction form
    1,493.66/2,060.70 = 969.50/x
  3. Step 3: Cross multiply
    1,493.66x = 2,060.70 × 969.50
  4. Step 4: Simplify right side
    1,493.66x = 1,997,848.65
  5. Step 5: Solve for x
    x = 1,997,848.65/1,493.66
  6. Step 6: Final answer
    x = 1,337.55

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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.