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Finding the Fourth Proportional to 2,174.95, 3,254.63 and 1,883.47

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Solution

The fourth proportional to 2,174.95, 3,254.63 and 1,883.47 is: 2,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.95 : 3,254.63 = 1,883.47 : x
  2. Step 2: Convert to fraction form
    2,174.95/3,254.63 = 1,883.47/x
  3. Step 3: Cross multiply
    2,174.95x = 3,254.63 × 1,883.47
  4. Step 4: Simplify right side
    2,174.95x = 6,129,997.11
  5. Step 5: Solve for x
    x = 6,129,997.11/2,174.95
  6. Step 6: Final answer
    x = 2,818.45

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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.