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Finding the Fourth Proportional to 4,382.61, 6,573.80 and 1,460.97

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Solution

The fourth proportional to 4,382.61, 6,573.80 and 1,460.97 is: 2,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.61 : 6,573.80 = 1,460.97 : x
  2. Step 2: Convert to fraction form
    4,382.61/6,573.80 = 1,460.97/x
  3. Step 3: Cross multiply
    4,382.61x = 6,573.80 × 1,460.97
  4. Step 4: Simplify right side
    4,382.61x = 9,604,117.28
  5. Step 5: Solve for x
    x = 9,604,117.28/4,382.61
  6. Step 6: Final answer
    x = 2,191.41

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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.