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Finding the Fourth Proportional to 1,711.40, 2,362.06 and 1,003.40

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Solution

The fourth proportional to 1,711.40, 2,362.06 and 1,003.40 is: 1,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.40 : 2,362.06 = 1,003.40 : x
  2. Step 2: Convert to fraction form
    1,711.40/2,362.06 = 1,003.40/x
  3. Step 3: Cross multiply
    1,711.40x = 2,362.06 × 1,003.40
  4. Step 4: Simplify right side
    1,711.40x = 2,370,091.00
  5. Step 5: Solve for x
    x = 2,370,091.00/1,711.40
  6. Step 6: Final answer
    x = 1,384.88

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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.