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Finding the Fourth Proportional to 2,904.70, 4,357.05 and 2,588.80

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Solution

The fourth proportional to 2,904.70, 4,357.05 and 2,588.80 is: 3,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.70 : 4,357.05 = 2,588.80 : x
  2. Step 2: Convert to fraction form
    2,904.70/4,357.05 = 2,588.80/x
  3. Step 3: Cross multiply
    2,904.70x = 4,357.05 × 2,588.80
  4. Step 4: Simplify right side
    2,904.70x = 11,279,531.04
  5. Step 5: Solve for x
    x = 11,279,531.04/2,904.70
  6. Step 6: Final answer
    x = 3,883.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.