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Finding the Fourth Proportional to 2,348, 3,521.91 and 593.03

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Solution

The fourth proportional to 2,348, 3,521.91 and 593.03 is: 889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348 : 3,521.91 = 593.03 : x
  2. Step 2: Convert to fraction form
    2,348/3,521.91 = 593.03/x
  3. Step 3: Cross multiply
    2,348x = 3,521.91 × 593.03
  4. Step 4: Simplify right side
    2,348x = 2,088,598.29
  5. Step 5: Solve for x
    x = 2,088,598.29/2,348
  6. Step 6: Final answer
    x = 889.52

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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.