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Finding the Fourth Proportional to 1,931.81, 2,895.74 and 761.34

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Solution

The fourth proportional to 1,931.81, 2,895.74 and 761.34 is: 1,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.81 : 2,895.74 = 761.34 : x
  2. Step 2: Convert to fraction form
    1,931.81/2,895.74 = 761.34/x
  3. Step 3: Cross multiply
    1,931.81x = 2,895.74 × 761.34
  4. Step 4: Simplify right side
    1,931.81x = 2,204,638.88
  5. Step 5: Solve for x
    x = 2,204,638.88/1,931.81
  6. Step 6: Final answer
    x = 1,141.23

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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.