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Finding the Fourth Proportional to 2,533, 3,495.64 and 1,485.14

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Solution

The fourth proportional to 2,533, 3,495.64 and 1,485.14 is: 2,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533 : 3,495.64 = 1,485.14 : x
  2. Step 2: Convert to fraction form
    2,533/3,495.64 = 1,485.14/x
  3. Step 3: Cross multiply
    2,533x = 3,495.64 × 1,485.14
  4. Step 4: Simplify right side
    2,533x = 5,191,514.79
  5. Step 5: Solve for x
    x = 5,191,514.79/2,533
  6. Step 6: Final answer
    x = 2,049.55

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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.