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Finding the Fourth Proportional to 2,083.45, 2,875.78 and 1,244.74

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Solution

The fourth proportional to 2,083.45, 2,875.78 and 1,244.74 is: 1,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.45 : 2,875.78 = 1,244.74 : x
  2. Step 2: Convert to fraction form
    2,083.45/2,875.78 = 1,244.74/x
  3. Step 3: Cross multiply
    2,083.45x = 2,875.78 × 1,244.74
  4. Step 4: Simplify right side
    2,083.45x = 3,579,598.40
  5. Step 5: Solve for x
    x = 3,579,598.40/2,083.45
  6. Step 6: Final answer
    x = 1,718.11

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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.