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Finding the Fourth Proportional to 1,320.64, 1,812.08 and 1,316.80

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Solution

The fourth proportional to 1,320.64, 1,812.08 and 1,316.80 is: 1,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.64 : 1,812.08 = 1,316.80 : x
  2. Step 2: Convert to fraction form
    1,320.64/1,812.08 = 1,316.80/x
  3. Step 3: Cross multiply
    1,320.64x = 1,812.08 × 1,316.80
  4. Step 4: Simplify right side
    1,320.64x = 2,386,146.94
  5. Step 5: Solve for x
    x = 2,386,146.94/1,320.64
  6. Step 6: Final answer
    x = 1,806.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.