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Finding the Fourth Proportional to 2,405.76, 3,316.32 and 1,880.88

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Solution

The fourth proportional to 2,405.76, 3,316.32 and 1,880.88 is: 2,592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.76 : 3,316.32 = 1,880.88 : x
  2. Step 2: Convert to fraction form
    2,405.76/3,316.32 = 1,880.88/x
  3. Step 3: Cross multiply
    2,405.76x = 3,316.32 × 1,880.88
  4. Step 4: Simplify right side
    2,405.76x = 6,237,599.96
  5. Step 5: Solve for x
    x = 6,237,599.96/2,405.76
  6. Step 6: Final answer
    x = 2,592.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.