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Finding the Fourth Proportional to 2,904.48, 4,007.28 and 1,662.24

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Solution

The fourth proportional to 2,904.48, 4,007.28 and 1,662.24 is: 2,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.48 : 4,007.28 = 1,662.24 : x
  2. Step 2: Convert to fraction form
    2,904.48/4,007.28 = 1,662.24/x
  3. Step 3: Cross multiply
    2,904.48x = 4,007.28 × 1,662.24
  4. Step 4: Simplify right side
    2,904.48x = 6,661,061.11
  5. Step 5: Solve for x
    x = 6,661,061.11/2,904.48
  6. Step 6: Final answer
    x = 2,293.37

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1.5x scale

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.