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Finding the Fourth Proportional to 2,045.76, 3,068.63 and 859.61

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Solution

The fourth proportional to 2,045.76, 3,068.63 and 859.61 is: 1,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.76 : 3,068.63 = 859.61 : x
  2. Step 2: Convert to fraction form
    2,045.76/3,068.63 = 859.61/x
  3. Step 3: Cross multiply
    2,045.76x = 3,068.63 × 859.61
  4. Step 4: Simplify right side
    2,045.76x = 2,637,836.47
  5. Step 5: Solve for x
    x = 2,637,836.47/2,045.76
  6. Step 6: Final answer
    x = 1,289.42

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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.