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Finding the Fourth Proportional to 2,997.10, 4,494.51 and 916.46

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Solution

The fourth proportional to 2,997.10, 4,494.51 and 916.46 is: 1,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.10 : 4,494.51 = 916.46 : x
  2. Step 2: Convert to fraction form
    2,997.10/4,494.51 = 916.46/x
  3. Step 3: Cross multiply
    2,997.10x = 4,494.51 × 916.46
  4. Step 4: Simplify right side
    2,997.10x = 4,119,038.63
  5. Step 5: Solve for x
    x = 4,119,038.63/2,997.10
  6. Step 6: Final answer
    x = 1,374.34

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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.