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Finding the Fourth Proportional to 2,302.80, 3,456.90 and 1,316.40

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Solution

The fourth proportional to 2,302.80, 3,456.90 and 1,316.40 is: 1,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.80 : 3,456.90 = 1,316.40 : x
  2. Step 2: Convert to fraction form
    2,302.80/3,456.90 = 1,316.40/x
  3. Step 3: Cross multiply
    2,302.80x = 3,456.90 × 1,316.40
  4. Step 4: Simplify right side
    2,302.80x = 4,550,663.16
  5. Step 5: Solve for x
    x = 4,550,663.16/2,302.80
  6. Step 6: Final answer
    x = 1,976.14

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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.