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Finding the Fourth Proportional to 2,893.14, 4,337.10 and 2,457.18

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Solution

The fourth proportional to 2,893.14, 4,337.10 and 2,457.18 is: 3,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.14 : 4,337.10 = 2,457.18 : x
  2. Step 2: Convert to fraction form
    2,893.14/4,337.10 = 2,457.18/x
  3. Step 3: Cross multiply
    2,893.14x = 4,337.10 × 2,457.18
  4. Step 4: Simplify right side
    2,893.14x = 10,657,035.38
  5. Step 5: Solve for x
    x = 10,657,035.38/2,893.14
  6. Step 6: Final answer
    x = 3,683.55

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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.