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Finding the Fourth Proportional to 1,679.77, 2,317.85 and 933.59

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Solution

The fourth proportional to 1,679.77, 2,317.85 and 933.59 is: 1,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.77 : 2,317.85 = 933.59 : x
  2. Step 2: Convert to fraction form
    1,679.77/2,317.85 = 933.59/x
  3. Step 3: Cross multiply
    1,679.77x = 2,317.85 × 933.59
  4. Step 4: Simplify right side
    1,679.77x = 2,163,926.21
  5. Step 5: Solve for x
    x = 2,163,926.21/1,679.77
  6. Step 6: Final answer
    x = 1,288.23

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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.