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Finding the Fourth Proportional to 1,400.14, 1,932.18 and 810.64

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Solution

The fourth proportional to 1,400.14, 1,932.18 and 810.64 is: 1,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.14 : 1,932.18 = 810.64 : x
  2. Step 2: Convert to fraction form
    1,400.14/1,932.18 = 810.64/x
  3. Step 3: Cross multiply
    1,400.14x = 1,932.18 × 810.64
  4. Step 4: Simplify right side
    1,400.14x = 1,566,302.40
  5. Step 5: Solve for x
    x = 1,566,302.40/1,400.14
  6. Step 6: Final answer
    x = 1,118.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.