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Finding the Fourth Proportional to 3,001.66, 4,503.14 and 1,053.82

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Solution

The fourth proportional to 3,001.66, 4,503.14 and 1,053.82 is: 1,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.66 : 4,503.14 = 1,053.82 : x
  2. Step 2: Convert to fraction form
    3,001.66/4,503.14 = 1,053.82/x
  3. Step 3: Cross multiply
    3,001.66x = 4,503.14 × 1,053.82
  4. Step 4: Simplify right side
    3,001.66x = 4,745,498.99
  5. Step 5: Solve for x
    x = 4,745,498.99/3,001.66
  6. Step 6: Final answer
    x = 1,580.96

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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.