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Finding the Fourth Proportional to 1,707.82, 2,356.16 and 1,118.68

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Solution

The fourth proportional to 1,707.82, 2,356.16 and 1,118.68 is: 1,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.82 : 2,356.16 = 1,118.68 : x
  2. Step 2: Convert to fraction form
    1,707.82/2,356.16 = 1,118.68/x
  3. Step 3: Cross multiply
    1,707.82x = 2,356.16 × 1,118.68
  4. Step 4: Simplify right side
    1,707.82x = 2,635,777.59
  5. Step 5: Solve for x
    x = 2,635,777.59/1,707.82
  6. Step 6: Final answer
    x = 1,543.36

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1.5x scale

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.