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Finding the Fourth Proportional to 2,417.23, 3,625.05 and 773.38

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Solution

The fourth proportional to 2,417.23, 3,625.05 and 773.38 is: 1,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.23 : 3,625.05 = 773.38 : x
  2. Step 2: Convert to fraction form
    2,417.23/3,625.05 = 773.38/x
  3. Step 3: Cross multiply
    2,417.23x = 3,625.05 × 773.38
  4. Step 4: Simplify right side
    2,417.23x = 2,803,541.17
  5. Step 5: Solve for x
    x = 2,803,541.17/2,417.23
  6. Step 6: Final answer
    x = 1,159.82

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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.