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Finding the Fourth Proportional to 1,889.60, 2,830.76 and 916.39

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Solution

The fourth proportional to 1,889.60, 2,830.76 and 916.39 is: 1,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.60 : 2,830.76 = 916.39 : x
  2. Step 2: Convert to fraction form
    1,889.60/2,830.76 = 916.39/x
  3. Step 3: Cross multiply
    1,889.60x = 2,830.76 × 916.39
  4. Step 4: Simplify right side
    1,889.60x = 2,594,068.50
  5. Step 5: Solve for x
    x = 2,594,068.50/1,889.60
  6. Step 6: Final answer
    x = 1,372.81

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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.