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Finding the Fourth Proportional to 1,402.36, 1,933.62 and 1,317.64

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Solution

The fourth proportional to 1,402.36, 1,933.62 and 1,317.64 is: 1,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.36 : 1,933.62 = 1,317.64 : x
  2. Step 2: Convert to fraction form
    1,402.36/1,933.62 = 1,317.64/x
  3. Step 3: Cross multiply
    1,402.36x = 1,933.62 × 1,317.64
  4. Step 4: Simplify right side
    1,402.36x = 2,547,815.06
  5. Step 5: Solve for x
    x = 2,547,815.06/1,402.36
  6. Step 6: Final answer
    x = 1,816.81

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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.