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Finding the Fourth Proportional to 4,308.39, 6,461.51 and 1,188.25

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Solution

The fourth proportional to 4,308.39, 6,461.51 and 1,188.25 is: 1,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.39 : 6,461.51 = 1,188.25 : x
  2. Step 2: Convert to fraction form
    4,308.39/6,461.51 = 1,188.25/x
  3. Step 3: Cross multiply
    4,308.39x = 6,461.51 × 1,188.25
  4. Step 4: Simplify right side
    4,308.39x = 7,677,867.16
  5. Step 5: Solve for x
    x = 7,677,867.16/4,308.39
  6. Step 6: Final answer
    x = 1,782.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.