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Finding the Fourth Proportional to 2,590.49, 3,882.48 and 1,848.93

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Solution

The fourth proportional to 2,590.49, 3,882.48 and 1,848.93 is: 2,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.49 : 3,882.48 = 1,848.93 : x
  2. Step 2: Convert to fraction form
    2,590.49/3,882.48 = 1,848.93/x
  3. Step 3: Cross multiply
    2,590.49x = 3,882.48 × 1,848.93
  4. Step 4: Simplify right side
    2,590.49x = 7,178,433.75
  5. Step 5: Solve for x
    x = 7,178,433.75/2,590.49
  6. Step 6: Final answer
    x = 2,771.08

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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.