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Finding the Fourth Proportional to 1,869.34, 2,805.75 and 945.55

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Solution

The fourth proportional to 1,869.34, 2,805.75 and 945.55 is: 1,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.34 : 2,805.75 = 945.55 : x
  2. Step 2: Convert to fraction form
    1,869.34/2,805.75 = 945.55/x
  3. Step 3: Cross multiply
    1,869.34x = 2,805.75 × 945.55
  4. Step 4: Simplify right side
    1,869.34x = 2,652,983.93
  5. Step 5: Solve for x
    x = 2,652,983.93/1,869.34
  6. Step 6: Final answer
    x = 1,419.21

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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.