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Finding the Fourth Proportional to 3,017.77, 4,526.48 and 826.34

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Solution

The fourth proportional to 3,017.77, 4,526.48 and 826.34 is: 1,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.77 : 4,526.48 = 826.34 : x
  2. Step 2: Convert to fraction form
    3,017.77/4,526.48 = 826.34/x
  3. Step 3: Cross multiply
    3,017.77x = 4,526.48 × 826.34
  4. Step 4: Simplify right side
    3,017.77x = 3,740,424.87
  5. Step 5: Solve for x
    x = 3,740,424.87/3,017.77
  6. Step 6: Final answer
    x = 1,239.47

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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.