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Finding the Fourth Proportional to 2,916.16, 4,374.44 and 836.34

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Solution

The fourth proportional to 2,916.16, 4,374.44 and 836.34 is: 1,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.16 : 4,374.44 = 836.34 : x
  2. Step 2: Convert to fraction form
    2,916.16/4,374.44 = 836.34/x
  3. Step 3: Cross multiply
    2,916.16x = 4,374.44 × 836.34
  4. Step 4: Simplify right side
    2,916.16x = 3,658,519.15
  5. Step 5: Solve for x
    x = 3,658,519.15/2,916.16
  6. Step 6: Final answer
    x = 1,254.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.