Home / 1,534.84-2,117.98-905.23

Finding the Fourth Proportional to 1,534.84, 2,117.98 and 905.23

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Solution

The fourth proportional to 1,534.84, 2,117.98 and 905.23 is: 1,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.84 : 2,117.98 = 905.23 : x
  2. Step 2: Convert to fraction form
    1,534.84/2,117.98 = 905.23/x
  3. Step 3: Cross multiply
    1,534.84x = 2,117.98 × 905.23
  4. Step 4: Simplify right side
    1,534.84x = 1,917,255.15
  5. Step 5: Solve for x
    x = 1,917,255.15/1,534.84
  6. Step 6: Final answer
    x = 1,249.15

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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.