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Finding the Fourth Proportional to 2,617.31, 3,925.57 and 973.53

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Solution

The fourth proportional to 2,617.31, 3,925.57 and 973.53 is: 1,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.31 : 3,925.57 = 973.53 : x
  2. Step 2: Convert to fraction form
    2,617.31/3,925.57 = 973.53/x
  3. Step 3: Cross multiply
    2,617.31x = 3,925.57 × 973.53
  4. Step 4: Simplify right side
    2,617.31x = 3,821,660.16
  5. Step 5: Solve for x
    x = 3,821,660.16/2,617.31
  6. Step 6: Final answer
    x = 1,460.15

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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.