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Finding the Fourth Proportional to 2,477.83, 3,712.65 and 1,501.90

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Solution

The fourth proportional to 2,477.83, 3,712.65 and 1,501.90 is: 2,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.83 : 3,712.65 = 1,501.90 : x
  2. Step 2: Convert to fraction form
    2,477.83/3,712.65 = 1,501.90/x
  3. Step 3: Cross multiply
    2,477.83x = 3,712.65 × 1,501.90
  4. Step 4: Simplify right side
    2,477.83x = 5,576,029.04
  5. Step 5: Solve for x
    x = 5,576,029.04/2,477.83
  6. Step 6: Final answer
    x = 2,250.37

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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.