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Finding the Fourth Proportional to 2,114.07, 2,916.05 and 1,451.28

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Solution

The fourth proportional to 2,114.07, 2,916.05 and 1,451.28 is: 2,001.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.07 : 2,916.05 = 1,451.28 : x
  2. Step 2: Convert to fraction form
    2,114.07/2,916.05 = 1,451.28/x
  3. Step 3: Cross multiply
    2,114.07x = 2,916.05 × 1,451.28
  4. Step 4: Simplify right side
    2,114.07x = 4,232,016.89
  5. Step 5: Solve for x
    x = 4,232,016.89/2,114.07
  6. Step 6: Final answer
    x = 2,001.84

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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.