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Finding the Fourth Proportional to 1,455.23, 2,182.87 and 810.07

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Solution

The fourth proportional to 1,455.23, 2,182.87 and 810.07 is: 1,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.23 : 2,182.87 = 810.07 : x
  2. Step 2: Convert to fraction form
    1,455.23/2,182.87 = 810.07/x
  3. Step 3: Cross multiply
    1,455.23x = 2,182.87 × 810.07
  4. Step 4: Simplify right side
    1,455.23x = 1,768,273.06
  5. Step 5: Solve for x
    x = 1,768,273.06/1,455.23
  6. Step 6: Final answer
    x = 1,215.11

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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.