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Finding the Fourth Proportional to 2,291.05, 3,436.70 and 647.46

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Solution

The fourth proportional to 2,291.05, 3,436.70 and 647.46 is: 971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.05 : 3,436.70 = 647.46 : x
  2. Step 2: Convert to fraction form
    2,291.05/3,436.70 = 647.46/x
  3. Step 3: Cross multiply
    2,291.05x = 3,436.70 × 647.46
  4. Step 4: Simplify right side
    2,291.05x = 2,225,122.54
  5. Step 5: Solve for x
    x = 2,225,122.54/2,291.05
  6. Step 6: Final answer
    x = 971.22

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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.