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Finding the Fourth Proportional to 2,595.48, 3,893.34 and 864.28

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Solution

The fourth proportional to 2,595.48, 3,893.34 and 864.28 is: 1,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.48 : 3,893.34 = 864.28 : x
  2. Step 2: Convert to fraction form
    2,595.48/3,893.34 = 864.28/x
  3. Step 3: Cross multiply
    2,595.48x = 3,893.34 × 864.28
  4. Step 4: Simplify right side
    2,595.48x = 3,364,935.90
  5. Step 5: Solve for x
    x = 3,364,935.90/2,595.48
  6. Step 6: Final answer
    x = 1,296.46

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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.