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Finding the Fourth Proportional to 1,651.94, 2,465.14 and 1,467.86

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Solution

The fourth proportional to 1,651.94, 2,465.14 and 1,467.86 is: 2,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.94 : 2,465.14 = 1,467.86 : x
  2. Step 2: Convert to fraction form
    1,651.94/2,465.14 = 1,467.86/x
  3. Step 3: Cross multiply
    1,651.94x = 2,465.14 × 1,467.86
  4. Step 4: Simplify right side
    1,651.94x = 3,618,482.89
  5. Step 5: Solve for x
    x = 3,618,482.89/1,651.94
  6. Step 6: Final answer
    x = 2,190.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.