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Finding the Fourth Proportional to 3,064.75, 4,593.48 and 1,417.78

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Solution

The fourth proportional to 3,064.75, 4,593.48 and 1,417.78 is: 2,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.75 : 4,593.48 = 1,417.78 : x
  2. Step 2: Convert to fraction form
    3,064.75/4,593.48 = 1,417.78/x
  3. Step 3: Cross multiply
    3,064.75x = 4,593.48 × 1,417.78
  4. Step 4: Simplify right side
    3,064.75x = 6,512,544.07
  5. Step 5: Solve for x
    x = 6,512,544.07/3,064.75
  6. Step 6: Final answer
    x = 2,124.98

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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.