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Finding the Fourth Proportional to 1,460.03, 2,189.52 and 535.32

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Solution

The fourth proportional to 1,460.03, 2,189.52 and 535.32 is: 802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.03 : 2,189.52 = 535.32 : x
  2. Step 2: Convert to fraction form
    1,460.03/2,189.52 = 535.32/x
  3. Step 3: Cross multiply
    1,460.03x = 2,189.52 × 535.32
  4. Step 4: Simplify right side
    1,460.03x = 1,172,093.85
  5. Step 5: Solve for x
    x = 1,172,093.85/1,460.03
  6. Step 6: Final answer
    x = 802.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.