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Finding the Fourth Proportional to 1,460.63, 2,188.22 and 1,134.41

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Solution

The fourth proportional to 1,460.63, 2,188.22 and 1,134.41 is: 1,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.63 : 2,188.22 = 1,134.41 : x
  2. Step 2: Convert to fraction form
    1,460.63/2,188.22 = 1,134.41/x
  3. Step 3: Cross multiply
    1,460.63x = 2,188.22 × 1,134.41
  4. Step 4: Simplify right side
    1,460.63x = 2,482,322.04
  5. Step 5: Solve for x
    x = 2,482,322.04/1,460.63
  6. Step 6: Final answer
    x = 1,699.48

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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.