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Finding the Fourth Proportional to 2,590.99, 3,883.24 and 2,041.00

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Solution

The fourth proportional to 2,590.99, 3,883.24 and 2,041.00 is: 3,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.99 : 3,883.24 = 2,041.00 : x
  2. Step 2: Convert to fraction form
    2,590.99/3,883.24 = 2,041.00/x
  3. Step 3: Cross multiply
    2,590.99x = 3,883.24 × 2,041.00
  4. Step 4: Simplify right side
    2,590.99x = 7,925,697.45
  5. Step 5: Solve for x
    x = 7,925,697.45/2,590.99
  6. Step 6: Final answer
    x = 3,058.94

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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.