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Finding the Fourth Proportional to 2,322.67, 3,480.90 and 2,029.45

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Solution

The fourth proportional to 2,322.67, 3,480.90 and 2,029.45 is: 3,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.67 : 3,480.90 = 2,029.45 : x
  2. Step 2: Convert to fraction form
    2,322.67/3,480.90 = 2,029.45/x
  3. Step 3: Cross multiply
    2,322.67x = 3,480.90 × 2,029.45
  4. Step 4: Simplify right side
    2,322.67x = 7,064,312.51
  5. Step 5: Solve for x
    x = 7,064,312.51/2,322.67
  6. Step 6: Final answer
    x = 3,041.46

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