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Finding the Fourth Proportional to 2,300.86, 3,175.02 and 1,416.34

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Solution

The fourth proportional to 2,300.86, 3,175.02 and 1,416.34 is: 1,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.86 : 3,175.02 = 1,416.34 : x
  2. Step 2: Convert to fraction form
    2,300.86/3,175.02 = 1,416.34/x
  3. Step 3: Cross multiply
    2,300.86x = 3,175.02 × 1,416.34
  4. Step 4: Simplify right side
    2,300.86x = 4,496,907.83
  5. Step 5: Solve for x
    x = 4,496,907.83/2,300.86
  6. Step 6: Final answer
    x = 1,954.45

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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.