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Finding the Fourth Proportional to 2,590.52, 3,883.91 and 1,341.50

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Solution

The fourth proportional to 2,590.52, 3,883.91 and 1,341.50 is: 2,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.52 : 3,883.91 = 1,341.50 : x
  2. Step 2: Convert to fraction form
    2,590.52/3,883.91 = 1,341.50/x
  3. Step 3: Cross multiply
    2,590.52x = 3,883.91 × 1,341.50
  4. Step 4: Simplify right side
    2,590.52x = 5,210,239.14
  5. Step 5: Solve for x
    x = 5,210,239.14/2,590.52
  6. Step 6: Final answer
    x = 2,011.28

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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.