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Finding the Fourth Proportional to 2,564.10, 3,845.91 and 715.07

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Solution

The fourth proportional to 2,564.10, 3,845.91 and 715.07 is: 1,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.10 : 3,845.91 = 715.07 : x
  2. Step 2: Convert to fraction form
    2,564.10/3,845.91 = 715.07/x
  3. Step 3: Cross multiply
    2,564.10x = 3,845.91 × 715.07
  4. Step 4: Simplify right side
    2,564.10x = 2,750,094.86
  5. Step 5: Solve for x
    x = 2,750,094.86/2,564.10
  6. Step 6: Final answer
    x = 1,072.54

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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.