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Finding the Fourth Proportional to 2,962.56, 4,088.39 and 1,916.45

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Solution

The fourth proportional to 2,962.56, 4,088.39 and 1,916.45 is: 2,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.56 : 4,088.39 = 1,916.45 : x
  2. Step 2: Convert to fraction form
    2,962.56/4,088.39 = 1,916.45/x
  3. Step 3: Cross multiply
    2,962.56x = 4,088.39 × 1,916.45
  4. Step 4: Simplify right side
    2,962.56x = 7,835,195.02
  5. Step 5: Solve for x
    x = 7,835,195.02/2,962.56
  6. Step 6: Final answer
    x = 2,644.74

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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.