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Finding the Fourth Proportional to 2,617.93, 3,924.15 and 973.45

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Solution

The fourth proportional to 2,617.93, 3,924.15 and 973.45 is: 1,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.93 : 3,924.15 = 973.45 : x
  2. Step 2: Convert to fraction form
    2,617.93/3,924.15 = 973.45/x
  3. Step 3: Cross multiply
    2,617.93x = 3,924.15 × 973.45
  4. Step 4: Simplify right side
    2,617.93x = 3,819,963.82
  5. Step 5: Solve for x
    x = 3,819,963.82/2,617.93
  6. Step 6: Final answer
    x = 1,459.15

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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.