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Finding the Fourth Proportional to 2,617.18, 3,925.32 and 973.60

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Solution

The fourth proportional to 2,617.18, 3,925.32 and 973.60 is: 1,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.18 : 3,925.32 = 973.60 : x
  2. Step 2: Convert to fraction form
    2,617.18/3,925.32 = 973.60/x
  3. Step 3: Cross multiply
    2,617.18x = 3,925.32 × 973.60
  4. Step 4: Simplify right side
    2,617.18x = 3,821,691.55
  5. Step 5: Solve for x
    x = 3,821,691.55/2,617.18
  6. Step 6: Final answer
    x = 1,460.23

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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.