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Finding the Fourth Proportional to 2,365.76, 3,548.64 and 826.40

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Solution

The fourth proportional to 2,365.76, 3,548.64 and 826.40 is: 1,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.76 : 3,548.64 = 826.40 : x
  2. Step 2: Convert to fraction form
    2,365.76/3,548.64 = 826.40/x
  3. Step 3: Cross multiply
    2,365.76x = 3,548.64 × 826.40
  4. Step 4: Simplify right side
    2,365.76x = 2,932,596.10
  5. Step 5: Solve for x
    x = 2,932,596.10/2,365.76
  6. Step 6: Final answer
    x = 1,239.60

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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.