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Finding the Fourth Proportional to 2,322.30, 3,483.46 and 590.93

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Solution

The fourth proportional to 2,322.30, 3,483.46 and 590.93 is: 886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.30 : 3,483.46 = 590.93 : x
  2. Step 2: Convert to fraction form
    2,322.30/3,483.46 = 590.93/x
  3. Step 3: Cross multiply
    2,322.30x = 3,483.46 × 590.93
  4. Step 4: Simplify right side
    2,322.30x = 2,058,462.12
  5. Step 5: Solve for x
    x = 2,058,462.12/2,322.30
  6. Step 6: Final answer
    x = 886.39

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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.