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Finding the Fourth Proportional to 3,005.67, 4,507.15 and 925.93

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Solution

The fourth proportional to 3,005.67, 4,507.15 and 925.93 is: 1,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.67 : 4,507.15 = 925.93 : x
  2. Step 2: Convert to fraction form
    3,005.67/4,507.15 = 925.93/x
  3. Step 3: Cross multiply
    3,005.67x = 4,507.15 × 925.93
  4. Step 4: Simplify right side
    3,005.67x = 4,173,305.40
  5. Step 5: Solve for x
    x = 4,173,305.40/3,005.67
  6. Step 6: Final answer
    x = 1,388.48

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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.