Home / 1,490.15-2,056.37-826.96

Finding the Fourth Proportional to 1,490.15, 2,056.37 and 826.96

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Solution

The fourth proportional to 1,490.15, 2,056.37 and 826.96 is: 1,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.15 : 2,056.37 = 826.96 : x
  2. Step 2: Convert to fraction form
    1,490.15/2,056.37 = 826.96/x
  3. Step 3: Cross multiply
    1,490.15x = 2,056.37 × 826.96
  4. Step 4: Simplify right side
    1,490.15x = 1,700,537.80
  5. Step 5: Solve for x
    x = 1,700,537.80/1,490.15
  6. Step 6: Final answer
    x = 1,141.19

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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.