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Finding the Fourth Proportional to 2,705.63, 4,037.50 and 2,414.03

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Solution

The fourth proportional to 2,705.63, 4,037.50 and 2,414.03 is: 3,602.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.63 : 4,037.50 = 2,414.03 : x
  2. Step 2: Convert to fraction form
    2,705.63/4,037.50 = 2,414.03/x
  3. Step 3: Cross multiply
    2,705.63x = 4,037.50 × 2,414.03
  4. Step 4: Simplify right side
    2,705.63x = 9,746,628.96
  5. Step 5: Solve for x
    x = 9,746,628.96/2,705.63
  6. Step 6: Final answer
    x = 3,602.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.