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Finding the Fourth Proportional to 1,322.02, 1,801.64 and 1,317.16

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Solution

The fourth proportional to 1,322.02, 1,801.64 and 1,317.16 is: 1,795.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.02 : 1,801.64 = 1,317.16 : x
  2. Step 2: Convert to fraction form
    1,322.02/1,801.64 = 1,317.16/x
  3. Step 3: Cross multiply
    1,322.02x = 1,801.64 × 1,317.16
  4. Step 4: Simplify right side
    1,322.02x = 2,373,053.69
  5. Step 5: Solve for x
    x = 2,373,053.69/1,322.02
  6. Step 6: Final answer
    x = 1,795.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.