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Finding the Fourth Proportional to 2,904.02, 4,013.25 and 2,580.02

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Solution

The fourth proportional to 2,904.02, 4,013.25 and 2,580.02 is: 3,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.02 : 4,013.25 = 2,580.02 : x
  2. Step 2: Convert to fraction form
    2,904.02/4,013.25 = 2,580.02/x
  3. Step 3: Cross multiply
    2,904.02x = 4,013.25 × 2,580.02
  4. Step 4: Simplify right side
    2,904.02x = 10,354,265.27
  5. Step 5: Solve for x
    x = 10,354,265.27/2,904.02
  6. Step 6: Final answer
    x = 3,565.49

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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.