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Finding the Fourth Proportional to 1,764.19, 2,434.56 and 978.22

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Solution

The fourth proportional to 1,764.19, 2,434.56 and 978.22 is: 1,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.19 : 2,434.56 = 978.22 : x
  2. Step 2: Convert to fraction form
    1,764.19/2,434.56 = 978.22/x
  3. Step 3: Cross multiply
    1,764.19x = 2,434.56 × 978.22
  4. Step 4: Simplify right side
    1,764.19x = 2,381,523.11
  5. Step 5: Solve for x
    x = 2,381,523.11/1,764.19
  6. Step 6: Final answer
    x = 1,349.93

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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.