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Finding the Fourth Proportional to 1,775.92, 2,453.16 and 1,610.32

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Solution

The fourth proportional to 1,775.92, 2,453.16 and 1,610.32 is: 2,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.92 : 2,453.16 = 1,610.32 : x
  2. Step 2: Convert to fraction form
    1,775.92/2,453.16 = 1,610.32/x
  3. Step 3: Cross multiply
    1,775.92x = 2,453.16 × 1,610.32
  4. Step 4: Simplify right side
    1,775.92x = 3,950,372.61
  5. Step 5: Solve for x
    x = 3,950,372.61/1,775.92
  6. Step 6: Final answer
    x = 2,224.41

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1.5x scale

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.