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Finding the Fourth Proportional to 1,816.40, 2,454.30 and 1,816.40

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Solution

The fourth proportional to 1,816.40, 2,454.30 and 1,816.40 is: 2,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.40 : 2,454.30 = 1,816.40 : x
  2. Step 2: Convert to fraction form
    1,816.40/2,454.30 = 1,816.40/x
  3. Step 3: Cross multiply
    1,816.40x = 2,454.30 × 1,816.40
  4. Step 4: Simplify right side
    1,816.40x = 4,457,990.52
  5. Step 5: Solve for x
    x = 4,457,990.52/1,816.40
  6. Step 6: Final answer
    x = 2,454.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.