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Finding the Fourth Proportional to 1,460.00, 2,189.88 and 535.52

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Solution

The fourth proportional to 1,460.00, 2,189.88 and 535.52 is: 803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.00 : 2,189.88 = 535.52 : x
  2. Step 2: Convert to fraction form
    1,460.00/2,189.88 = 535.52/x
  3. Step 3: Cross multiply
    1,460.00x = 2,189.88 × 535.52
  4. Step 4: Simplify right side
    1,460.00x = 1,172,730.01
  5. Step 5: Solve for x
    x = 1,172,730.01/1,460.00
  6. Step 6: Final answer
    x = 803.24

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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.