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Finding the Fourth Proportional to 2,359.66, 3,532.20 and 2,158.06

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Solution

The fourth proportional to 2,359.66, 3,532.20 and 2,158.06 is: 3,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.66 : 3,532.20 = 2,158.06 : x
  2. Step 2: Convert to fraction form
    2,359.66/3,532.20 = 2,158.06/x
  3. Step 3: Cross multiply
    2,359.66x = 3,532.20 × 2,158.06
  4. Step 4: Simplify right side
    2,359.66x = 7,622,699.53
  5. Step 5: Solve for x
    x = 7,622,699.53/2,359.66
  6. Step 6: Final answer
    x = 3,230.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.