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Finding the Fourth Proportional to 1,381.79, 1,909.50 and 1,133.03

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Solution

The fourth proportional to 1,381.79, 1,909.50 and 1,133.03 is: 1,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.79 : 1,909.50 = 1,133.03 : x
  2. Step 2: Convert to fraction form
    1,381.79/1,909.50 = 1,133.03/x
  3. Step 3: Cross multiply
    1,381.79x = 1,909.50 × 1,133.03
  4. Step 4: Simplify right side
    1,381.79x = 2,163,520.79
  5. Step 5: Solve for x
    x = 2,163,520.79/1,381.79
  6. Step 6: Final answer
    x = 1,565.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.