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Finding the Fourth Proportional to 2,316, 3,196.08 and 1,384.72

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Solution

The fourth proportional to 2,316, 3,196.08 and 1,384.72 is: 1,910.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316 : 3,196.08 = 1,384.72 : x
  2. Step 2: Convert to fraction form
    2,316/3,196.08 = 1,384.72/x
  3. Step 3: Cross multiply
    2,316x = 3,196.08 × 1,384.72
  4. Step 4: Simplify right side
    2,316x = 4,425,675.90
  5. Step 5: Solve for x
    x = 4,425,675.90/2,316
  6. Step 6: Final answer
    x = 1,910.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.