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Finding the Fourth Proportional to 1,220, 1,826.94 and 1,000.12

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Solution

The fourth proportional to 1,220, 1,826.94 and 1,000.12 is: 1,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220 : 1,826.94 = 1,000.12 : x
  2. Step 2: Convert to fraction form
    1,220/1,826.94 = 1,000.12/x
  3. Step 3: Cross multiply
    1,220x = 1,826.94 × 1,000.12
  4. Step 4: Simplify right side
    1,220x = 1,827,159.23
  5. Step 5: Solve for x
    x = 1,827,159.23/1,220
  6. Step 6: Final answer
    x = 1,497.67

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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.