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Finding the Fourth Proportional to 2,083.02, 3,123.47 and 695.86

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Solution

The fourth proportional to 2,083.02, 3,123.47 and 695.86 is: 1,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.02 : 3,123.47 = 695.86 : x
  2. Step 2: Convert to fraction form
    2,083.02/3,123.47 = 695.86/x
  3. Step 3: Cross multiply
    2,083.02x = 3,123.47 × 695.86
  4. Step 4: Simplify right side
    2,083.02x = 2,173,486.55
  5. Step 5: Solve for x
    x = 2,173,486.55/2,083.02
  6. Step 6: Final answer
    x = 1,043.43

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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.