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Finding the Fourth Proportional to 2,876.56, 4,304.10 and 2,409.40

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Solution

The fourth proportional to 2,876.56, 4,304.10 and 2,409.40 is: 3,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.56 : 4,304.10 = 2,409.40 : x
  2. Step 2: Convert to fraction form
    2,876.56/4,304.10 = 2,409.40/x
  3. Step 3: Cross multiply
    2,876.56x = 4,304.10 × 2,409.40
  4. Step 4: Simplify right side
    2,876.56x = 10,370,298.54
  5. Step 5: Solve for x
    x = 10,370,298.54/2,876.56
  6. Step 6: Final answer
    x = 3,605.10

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1.5x scale

Why These Related Problems?

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