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Finding the Fourth Proportional to 1,765.57, 2,448.13 and 1,707.03

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Solution

The fourth proportional to 1,765.57, 2,448.13 and 1,707.03 is: 2,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.57 : 2,448.13 = 1,707.03 : x
  2. Step 2: Convert to fraction form
    1,765.57/2,448.13 = 1,707.03/x
  3. Step 3: Cross multiply
    1,765.57x = 2,448.13 × 1,707.03
  4. Step 4: Simplify right side
    1,765.57x = 4,179,031.35
  5. Step 5: Solve for x
    x = 4,179,031.35/1,765.57
  6. Step 6: Final answer
    x = 2,366.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.