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Finding the Fourth Proportional to 1,924.70, 2,887.05 and 952.70

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Solution

The fourth proportional to 1,924.70, 2,887.05 and 952.70 is: 1,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.70 : 2,887.05 = 952.70 : x
  2. Step 2: Convert to fraction form
    1,924.70/2,887.05 = 952.70/x
  3. Step 3: Cross multiply
    1,924.70x = 2,887.05 × 952.70
  4. Step 4: Simplify right side
    1,924.70x = 2,750,492.54
  5. Step 5: Solve for x
    x = 2,750,492.54/1,924.70
  6. Step 6: Final answer
    x = 1,429.05

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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.