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Finding the Fourth Proportional to 1,764.07, 2,434.32 and 978.06

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Solution

The fourth proportional to 1,764.07, 2,434.32 and 978.06 is: 1,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.07 : 2,434.32 = 978.06 : x
  2. Step 2: Convert to fraction form
    1,764.07/2,434.32 = 978.06/x
  3. Step 3: Cross multiply
    1,764.07x = 2,434.32 × 978.06
  4. Step 4: Simplify right side
    1,764.07x = 2,380,911.02
  5. Step 5: Solve for x
    x = 2,380,911.02/1,764.07
  6. Step 6: Final answer
    x = 1,349.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.