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Finding the Fourth Proportional to 2,083.57, 2,875.95 and 1,244.86

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Solution

The fourth proportional to 2,083.57, 2,875.95 and 1,244.86 is: 1,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.57 : 2,875.95 = 1,244.86 : x
  2. Step 2: Convert to fraction form
    2,083.57/2,875.95 = 1,244.86/x
  3. Step 3: Cross multiply
    2,083.57x = 2,875.95 × 1,244.86
  4. Step 4: Simplify right side
    2,083.57x = 3,580,155.12
  5. Step 5: Solve for x
    x = 3,580,155.12/2,083.57
  6. Step 6: Final answer
    x = 1,718.28

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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.