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Finding the Fourth Proportional to 1,738.79, 2,398.93 and 992.21

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Solution

The fourth proportional to 1,738.79, 2,398.93 and 992.21 is: 1,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.79 : 2,398.93 = 992.21 : x
  2. Step 2: Convert to fraction form
    1,738.79/2,398.93 = 992.21/x
  3. Step 3: Cross multiply
    1,738.79x = 2,398.93 × 992.21
  4. Step 4: Simplify right side
    1,738.79x = 2,380,242.34
  5. Step 5: Solve for x
    x = 2,380,242.34/1,738.79
  6. Step 6: Final answer
    x = 1,368.91

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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.