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Finding the Fourth Proportional to 1,575.37, 2,362.42 and 535.15

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Solution

The fourth proportional to 1,575.37, 2,362.42 and 535.15 is: 802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.37 : 2,362.42 = 535.15 : x
  2. Step 2: Convert to fraction form
    1,575.37/2,362.42 = 535.15/x
  3. Step 3: Cross multiply
    1,575.37x = 2,362.42 × 535.15
  4. Step 4: Simplify right side
    1,575.37x = 1,264,249.06
  5. Step 5: Solve for x
    x = 1,264,249.06/1,575.37
  6. Step 6: Final answer
    x = 802.51

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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.