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Finding the Fourth Proportional to 2,465.76, 3,696.68 and 1,232.50

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Solution

The fourth proportional to 2,465.76, 3,696.68 and 1,232.50 is: 1,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.76 : 3,696.68 = 1,232.50 : x
  2. Step 2: Convert to fraction form
    2,465.76/3,696.68 = 1,232.50/x
  3. Step 3: Cross multiply
    2,465.76x = 3,696.68 × 1,232.50
  4. Step 4: Simplify right side
    2,465.76x = 4,556,158.10
  5. Step 5: Solve for x
    x = 4,556,158.10/2,465.76
  6. Step 6: Final answer
    x = 1,847.77

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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.