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Finding the Fourth Proportional to 1,356.30, 1,870.77 and 962.64

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Solution

The fourth proportional to 1,356.30, 1,870.77 and 962.64 is: 1,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.30 : 1,870.77 = 962.64 : x
  2. Step 2: Convert to fraction form
    1,356.30/1,870.77 = 962.64/x
  3. Step 3: Cross multiply
    1,356.30x = 1,870.77 × 962.64
  4. Step 4: Simplify right side
    1,356.30x = 1,800,878.03
  5. Step 5: Solve for x
    x = 1,800,878.03/1,356.30
  6. Step 6: Final answer
    x = 1,327.79

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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.