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Finding the Fourth Proportional to 2,366.70, 3,533.12 and 2,034.06

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Solution

The fourth proportional to 2,366.70, 3,533.12 and 2,034.06 is: 3,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.70 : 3,533.12 = 2,034.06 : x
  2. Step 2: Convert to fraction form
    2,366.70/3,533.12 = 2,034.06/x
  3. Step 3: Cross multiply
    2,366.70x = 3,533.12 × 2,034.06
  4. Step 4: Simplify right side
    2,366.70x = 7,186,567.90
  5. Step 5: Solve for x
    x = 7,186,567.90/2,366.70
  6. Step 6: Final answer
    x = 3,036.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.