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Finding the Fourth Proportional to 2,322.34, 3,483.48 and 590.96

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Solution

The fourth proportional to 2,322.34, 3,483.48 and 590.96 is: 886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.34 : 3,483.48 = 590.96 : x
  2. Step 2: Convert to fraction form
    2,322.34/3,483.48 = 590.96/x
  3. Step 3: Cross multiply
    2,322.34x = 3,483.48 × 590.96
  4. Step 4: Simplify right side
    2,322.34x = 2,058,597.34
  5. Step 5: Solve for x
    x = 2,058,597.34/2,322.34
  6. Step 6: Final answer
    x = 886.43

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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.