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Finding the Fourth Proportional to 2,653.91, 3,662.52 and 1,475

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Solution

The fourth proportional to 2,653.91, 3,662.52 and 1,475 is: 2,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.91 : 3,662.52 = 1,475 : x
  2. Step 2: Convert to fraction form
    2,653.91/3,662.52 = 1,475/x
  3. Step 3: Cross multiply
    2,653.91x = 3,662.52 × 1,475
  4. Step 4: Simplify right side
    2,653.91x = 5,402,217
  5. Step 5: Solve for x
    x = 5,402,217/2,653.91
  6. Step 6: Final answer
    x = 2,035.57

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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.