Home / 2,048.40-2,826.90-1,116.96

Finding the Fourth Proportional to 2,048.40, 2,826.90 and 1,116.96

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Solution

The fourth proportional to 2,048.40, 2,826.90 and 1,116.96 is: 1,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.40 : 2,826.90 = 1,116.96 : x
  2. Step 2: Convert to fraction form
    2,048.40/2,826.90 = 1,116.96/x
  3. Step 3: Cross multiply
    2,048.40x = 2,826.90 × 1,116.96
  4. Step 4: Simplify right side
    2,048.40x = 3,157,534.22
  5. Step 5: Solve for x
    x = 3,157,534.22/2,048.40
  6. Step 6: Final answer
    x = 1,541.46

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Half scale
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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.