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Finding the Fourth Proportional to 1,681.12, 2,320.32 and 982.64

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Solution

The fourth proportional to 1,681.12, 2,320.32 and 982.64 is: 1,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.12 : 2,320.32 = 982.64 : x
  2. Step 2: Convert to fraction form
    1,681.12/2,320.32 = 982.64/x
  3. Step 3: Cross multiply
    1,681.12x = 2,320.32 × 982.64
  4. Step 4: Simplify right side
    1,681.12x = 2,280,039.24
  5. Step 5: Solve for x
    x = 2,280,039.24/1,681.12
  6. Step 6: Final answer
    x = 1,356.26

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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.