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Finding the Fourth Proportional to 2,417.03, 3,625.71 and 773.72

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Solution

The fourth proportional to 2,417.03, 3,625.71 and 773.72 is: 1,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.03 : 3,625.71 = 773.72 : x
  2. Step 2: Convert to fraction form
    2,417.03/3,625.71 = 773.72/x
  3. Step 3: Cross multiply
    2,417.03x = 3,625.71 × 773.72
  4. Step 4: Simplify right side
    2,417.03x = 2,805,284.34
  5. Step 5: Solve for x
    x = 2,805,284.34/2,417.03
  6. Step 6: Final answer
    x = 1,160.63

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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.