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Finding the Fourth Proportional to 2,916.64, 4,374.81 and 725.39

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Solution

The fourth proportional to 2,916.64, 4,374.81 and 725.39 is: 1,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.64 : 4,374.81 = 725.39 : x
  2. Step 2: Convert to fraction form
    2,916.64/4,374.81 = 725.39/x
  3. Step 3: Cross multiply
    2,916.64x = 4,374.81 × 725.39
  4. Step 4: Simplify right side
    2,916.64x = 3,173,437.96
  5. Step 5: Solve for x
    x = 3,173,437.96/2,916.64
  6. Step 6: Final answer
    x = 1,088.05

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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.