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Finding the Fourth Proportional to 1,946.18, 2,916.83 and 1,533.69

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Solution

The fourth proportional to 1,946.18, 2,916.83 and 1,533.69 is: 2,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.18 : 2,916.83 = 1,533.69 : x
  2. Step 2: Convert to fraction form
    1,946.18/2,916.83 = 1,533.69/x
  3. Step 3: Cross multiply
    1,946.18x = 2,916.83 × 1,533.69
  4. Step 4: Simplify right side
    1,946.18x = 4,473,513.00
  5. Step 5: Solve for x
    x = 4,473,513.00/1,946.18
  6. Step 6: Final answer
    x = 2,298.61

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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.