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Finding the Fourth Proportional to 2,795.83, 4,193.61 and 947.02

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Solution

The fourth proportional to 2,795.83, 4,193.61 and 947.02 is: 1,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.83 : 4,193.61 = 947.02 : x
  2. Step 2: Convert to fraction form
    2,795.83/4,193.61 = 947.02/x
  3. Step 3: Cross multiply
    2,795.83x = 4,193.61 × 947.02
  4. Step 4: Simplify right side
    2,795.83x = 3,971,432.54
  5. Step 5: Solve for x
    x = 3,971,432.54/2,795.83
  6. Step 6: Final answer
    x = 1,420.48

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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.