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Finding the Fourth Proportional to 2,564.76, 3,541.51 and 2,446.60

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Solution

The fourth proportional to 2,564.76, 3,541.51 and 2,446.60 is: 3,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.76 : 3,541.51 = 2,446.60 : x
  2. Step 2: Convert to fraction form
    2,564.76/3,541.51 = 2,446.60/x
  3. Step 3: Cross multiply
    2,564.76x = 3,541.51 × 2,446.60
  4. Step 4: Simplify right side
    2,564.76x = 8,664,646.13
  5. Step 5: Solve for x
    x = 8,664,646.13/2,564.76
  6. Step 6: Final answer
    x = 3,378.35

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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.