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Finding the Fourth Proportional to 1,808.56, 2,495.80 and 1,022.76

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Solution

The fourth proportional to 1,808.56, 2,495.80 and 1,022.76 is: 1,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.56 : 2,495.80 = 1,022.76 : x
  2. Step 2: Convert to fraction form
    1,808.56/2,495.80 = 1,022.76/x
  3. Step 3: Cross multiply
    1,808.56x = 2,495.80 × 1,022.76
  4. Step 4: Simplify right side
    1,808.56x = 2,552,604.41
  5. Step 5: Solve for x
    x = 2,552,604.41/1,808.56
  6. Step 6: Final answer
    x = 1,411.40

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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.