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Finding the Fourth Proportional to 1,814.06, 2,503.50 and 1,150.67

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Solution

The fourth proportional to 1,814.06, 2,503.50 and 1,150.67 is: 1,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.06 : 2,503.50 = 1,150.67 : x
  2. Step 2: Convert to fraction form
    1,814.06/2,503.50 = 1,150.67/x
  3. Step 3: Cross multiply
    1,814.06x = 2,503.50 × 1,150.67
  4. Step 4: Simplify right side
    1,814.06x = 2,880,702.35
  5. Step 5: Solve for x
    x = 2,880,702.35/1,814.06
  6. Step 6: Final answer
    x = 1,587.99

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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.