Home / 1,577.49-2,176.94-914.40

Finding the Fourth Proportional to 1,577.49, 2,176.94 and 914.40

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Solution

The fourth proportional to 1,577.49, 2,176.94 and 914.40 is: 1,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.49 : 2,176.94 = 914.40 : x
  2. Step 2: Convert to fraction form
    1,577.49/2,176.94 = 914.40/x
  3. Step 3: Cross multiply
    1,577.49x = 2,176.94 × 914.40
  4. Step 4: Simplify right side
    1,577.49x = 1,990,589.36
  5. Step 5: Solve for x
    x = 1,990,589.36/1,577.49
  6. Step 6: Final answer
    x = 1,261.87

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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.