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Finding the Fourth Proportional to 3,005.01, 4,507.95 and 925.19

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Solution

The fourth proportional to 3,005.01, 4,507.95 and 925.19 is: 1,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.01 : 4,507.95 = 925.19 : x
  2. Step 2: Convert to fraction form
    3,005.01/4,507.95 = 925.19/x
  3. Step 3: Cross multiply
    3,005.01x = 4,507.95 × 925.19
  4. Step 4: Simplify right side
    3,005.01x = 4,170,705.63
  5. Step 5: Solve for x
    x = 4,170,705.63/3,005.01
  6. Step 6: Final answer
    x = 1,387.92

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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.