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Finding the Fourth Proportional to 2,904.84, 4,008.90 and 1,709.80

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Solution

The fourth proportional to 2,904.84, 4,008.90 and 1,709.80 is: 2,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.84 : 4,008.90 = 1,709.80 : x
  2. Step 2: Convert to fraction form
    2,904.84/4,008.90 = 1,709.80/x
  3. Step 3: Cross multiply
    2,904.84x = 4,008.90 × 1,709.80
  4. Step 4: Simplify right side
    2,904.84x = 6,854,417.22
  5. Step 5: Solve for x
    x = 6,854,417.22/2,904.84
  6. Step 6: Final answer
    x = 2,359.65

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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.