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Finding the Fourth Proportional to 1,726.81, 2,382.99 and 940.84

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Solution

The fourth proportional to 1,726.81, 2,382.99 and 940.84 is: 1,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.81 : 2,382.99 = 940.84 : x
  2. Step 2: Convert to fraction form
    1,726.81/2,382.99 = 940.84/x
  3. Step 3: Cross multiply
    1,726.81x = 2,382.99 × 940.84
  4. Step 4: Simplify right side
    1,726.81x = 2,242,012.31
  5. Step 5: Solve for x
    x = 2,242,012.31/1,726.81
  6. Step 6: Final answer
    x = 1,298.35

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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.