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Finding the Fourth Proportional to 2,151.93, 2,970.12 and 1,365.82

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Solution

The fourth proportional to 2,151.93, 2,970.12 and 1,365.82 is: 1,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.93 : 2,970.12 = 1,365.82 : x
  2. Step 2: Convert to fraction form
    2,151.93/2,970.12 = 1,365.82/x
  3. Step 3: Cross multiply
    2,151.93x = 2,970.12 × 1,365.82
  4. Step 4: Simplify right side
    2,151.93x = 4,056,649.30
  5. Step 5: Solve for x
    x = 4,056,649.30/2,151.93
  6. Step 6: Final answer
    x = 1,885.12

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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.