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Finding the Fourth Proportional to 1,764.06, 2,434.13 and 1,056.20

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Solution

The fourth proportional to 1,764.06, 2,434.13 and 1,056.20 is: 1,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.06 : 2,434.13 = 1,056.20 : x
  2. Step 2: Convert to fraction form
    1,764.06/2,434.13 = 1,056.20/x
  3. Step 3: Cross multiply
    1,764.06x = 2,434.13 × 1,056.20
  4. Step 4: Simplify right side
    1,764.06x = 2,570,910.65
  5. Step 5: Solve for x
    x = 2,570,910.65/1,764.06
  6. Step 6: Final answer
    x = 1,457.38

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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.