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Finding the Fourth Proportional to 3,001.95, 4,142.50 and 1,675.62

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Solution

The fourth proportional to 3,001.95, 4,142.50 and 1,675.62 is: 2,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.95 : 4,142.50 = 1,675.62 : x
  2. Step 2: Convert to fraction form
    3,001.95/4,142.50 = 1,675.62/x
  3. Step 3: Cross multiply
    3,001.95x = 4,142.50 × 1,675.62
  4. Step 4: Simplify right side
    3,001.95x = 6,941,251.66
  5. Step 5: Solve for x
    x = 6,941,251.66/3,001.95
  6. Step 6: Final answer
    x = 2,312.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.