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Finding the Fourth Proportional to 2,083.01, 3,134.95 and 1,565.69

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Solution

The fourth proportional to 2,083.01, 3,134.95 and 1,565.69 is: 2,356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.01 : 3,134.95 = 1,565.69 : x
  2. Step 2: Convert to fraction form
    2,083.01/3,134.95 = 1,565.69/x
  3. Step 3: Cross multiply
    2,083.01x = 3,134.95 × 1,565.69
  4. Step 4: Simplify right side
    2,083.01x = 4,908,340.28
  5. Step 5: Solve for x
    x = 4,908,340.28/2,083.01
  6. Step 6: Final answer
    x = 2,356.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.