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Finding the Fourth Proportional to 1,813.56, 2,502.81 and 1,150.17

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Solution

The fourth proportional to 1,813.56, 2,502.81 and 1,150.17 is: 1,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.56 : 2,502.81 = 1,150.17 : x
  2. Step 2: Convert to fraction form
    1,813.56/2,502.81 = 1,150.17/x
  3. Step 3: Cross multiply
    1,813.56x = 2,502.81 × 1,150.17
  4. Step 4: Simplify right side
    1,813.56x = 2,878,656.98
  5. Step 5: Solve for x
    x = 2,878,656.98/1,813.56
  6. Step 6: Final answer
    x = 1,587.30

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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.