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Finding the Fourth Proportional to 1,458.66, 2,189.07 and 810.66

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Solution

The fourth proportional to 1,458.66, 2,189.07 and 810.66 is: 1,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.66 : 2,189.07 = 810.66 : x
  2. Step 2: Convert to fraction form
    1,458.66/2,189.07 = 810.66/x
  3. Step 3: Cross multiply
    1,458.66x = 2,189.07 × 810.66
  4. Step 4: Simplify right side
    1,458.66x = 1,774,591.49
  5. Step 5: Solve for x
    x = 1,774,591.49/1,458.66
  6. Step 6: Final answer
    x = 1,216.59

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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.