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Finding the Fourth Proportional to 2,617.72, 3,925.54 and 1,155.84

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Solution

The fourth proportional to 2,617.72, 3,925.54 and 1,155.84 is: 1,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.72 : 3,925.54 = 1,155.84 : x
  2. Step 2: Convert to fraction form
    2,617.72/3,925.54 = 1,155.84/x
  3. Step 3: Cross multiply
    2,617.72x = 3,925.54 × 1,155.84
  4. Step 4: Simplify right side
    2,617.72x = 4,537,312.75
  5. Step 5: Solve for x
    x = 4,537,312.75/2,617.72
  6. Step 6: Final answer
    x = 1,733.31

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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.