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Finding the Fourth Proportional to 2,062.04, 2,846.76 and 1,316.48

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Solution

The fourth proportional to 2,062.04, 2,846.76 and 1,316.48 is: 1,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.04 : 2,846.76 = 1,316.48 : x
  2. Step 2: Convert to fraction form
    2,062.04/2,846.76 = 1,316.48/x
  3. Step 3: Cross multiply
    2,062.04x = 2,846.76 × 1,316.48
  4. Step 4: Simplify right side
    2,062.04x = 3,747,702.60
  5. Step 5: Solve for x
    x = 3,747,702.60/2,062.04
  6. Step 6: Final answer
    x = 1,817.47

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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.