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Finding the Fourth Proportional to 1,814.16, 2,503.60 and 1,028.24

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Solution

The fourth proportional to 1,814.16, 2,503.60 and 1,028.24 is: 1,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.16 : 2,503.60 = 1,028.24 : x
  2. Step 2: Convert to fraction form
    1,814.16/2,503.60 = 1,028.24/x
  3. Step 3: Cross multiply
    1,814.16x = 2,503.60 × 1,028.24
  4. Step 4: Simplify right side
    1,814.16x = 2,574,301.66
  5. Step 5: Solve for x
    x = 2,574,301.66/1,814.16
  6. Step 6: Final answer
    x = 1,419.00

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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.