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Finding the Fourth Proportional to 2,590.98, 3,886.48 and 643.19

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Solution

The fourth proportional to 2,590.98, 3,886.48 and 643.19 is: 964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.98 : 3,886.48 = 643.19 : x
  2. Step 2: Convert to fraction form
    2,590.98/3,886.48 = 643.19/x
  3. Step 3: Cross multiply
    2,590.98x = 3,886.48 × 643.19
  4. Step 4: Simplify right side
    2,590.98x = 2,499,722.82
  5. Step 5: Solve for x
    x = 2,499,722.82/2,590.98
  6. Step 6: Final answer
    x = 964.78

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1.5x scale

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.