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Finding the Fourth Proportional to 1,885.62, 2,604.63 and 1,448.91

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Solution

The fourth proportional to 1,885.62, 2,604.63 and 1,448.91 is: 2,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.62 : 2,604.63 = 1,448.91 : x
  2. Step 2: Convert to fraction form
    1,885.62/2,604.63 = 1,448.91/x
  3. Step 3: Cross multiply
    1,885.62x = 2,604.63 × 1,448.91
  4. Step 4: Simplify right side
    1,885.62x = 3,773,874.45
  5. Step 5: Solve for x
    x = 3,773,874.45/1,885.62
  6. Step 6: Final answer
    x = 2,001.40

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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.