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Finding the Fourth Proportional to 1,928.20, 2,893.14 and 953.74

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Solution

The fourth proportional to 1,928.20, 2,893.14 and 953.74 is: 1,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.20 : 2,893.14 = 953.74 : x
  2. Step 2: Convert to fraction form
    1,928.20/2,893.14 = 953.74/x
  3. Step 3: Cross multiply
    1,928.20x = 2,893.14 × 953.74
  4. Step 4: Simplify right side
    1,928.20x = 2,759,303.34
  5. Step 5: Solve for x
    x = 2,759,303.34/1,928.20
  6. Step 6: Final answer
    x = 1,431.03

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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.