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Finding the Fourth Proportional to 1,284.98, 1,925.34 and 1,079.64

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Solution

The fourth proportional to 1,284.98, 1,925.34 and 1,079.64 is: 1,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.98 : 1,925.34 = 1,079.64 : x
  2. Step 2: Convert to fraction form
    1,284.98/1,925.34 = 1,079.64/x
  3. Step 3: Cross multiply
    1,284.98x = 1,925.34 × 1,079.64
  4. Step 4: Simplify right side
    1,284.98x = 2,078,670.03
  5. Step 5: Solve for x
    x = 2,078,670.03/1,284.98
  6. Step 6: Final answer
    x = 1,617.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.